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- 2222 Days of Learning

# 2222 Days of Learning

- 2294

D'abord, j'ai commencé par apprendre le français, pour aucune raison à part le fait que c'est une langue très cool.

後來我開始學習中文，因為喜歡挑戰，也喜歡台灣，香港和中國電影。

마지막으로 한국 문화와 사람과 사랑에 빠졌으니 한국어 공부를 시작했다.

Anyway, no life lessons here, just thought 2222 was a cool number. Keep studying and don't let Duo murder you in your sleep.

That’s all folks.

## 136 Comments

Is 2222 interesting?

Hmm, well it factors to 2 x 11 x 101. That means the sum of every prime factor's individual digits is exactly 2. What else? The last two numbers, taken in binary, are 3 and 5. 2, 3, and 5 are one of only two prime triples separated by less than 2 each. It's not the sum of 2 squares, because 11 mod 4 is 3, but it is the sum of twelve different triples of integers: (1, 14, 45), (21, 25, 34), (7, 18, 43), (5, 9, 46), (19, 30, 31), (5, 26, 39), (13, 17, 42), (6, 31, 35), (15, 29, 34), (7, 27, 38), (10, 21, 41), (18, 23, 37).

2222 is trivially palindromic, so that's not too interesting, but if you take its two prime factors > 2, and multiply 2222 by that, (2 x 11 x 101 x 11 x 101), you get a great palindromic number: 2468642, which is the largest ascending then descending palindromic number with all even digits.

I guess it is a pretty cool number. Keep it up!

[edited to change asterisks to x's, as asterisks seem to be a a markup symbol here)

- 199

I can't resist. I love palindromes and have a whole book of them. The title: I love me vol. 1.

And yes, I'm in awe of a 6-year streak.

MIsspent youth. Before we had phones to stare at during awkward silent moments during shared lunches in college, we'd come up with games like "Why is X an interesting number?", and everyone would need to think about it for a while. 1729 is a famous example.

Oh, thinking of that, it's also the highway in Austin that one of my best friends lived on when I was at UT! Back in the 80s, traffic was far less than now and you could drive really fast on it.

@jairapetyan For a number, N, to be the sum of two cubes, there must be an number, x, and another number, y, such that N = x^3 + y^3 (the "^" character means "to the power of" since I don't think I can use superscripts here)

In the case of 1729,

1729 = 1^3 + 12^3 and

1729 = 9^3 + 10^3

So, there are two different sums of cubes that equal 1729. The statement about it being the smallest means there isn't a number smaller than 1729 for which you can find two different equations N = x^3 + y^3.

There is a caveat: 1729 is only the smallest such number if you restrict x and y to be positive numbers, because

91 = 6^3 + (−5)^3 and

91 = 4^3 + 3^3

Of course some may argue that "X" is actually an interesting letter rather than an interesting number ... which it is: For example, it's the 24th letter in the alphabet, 24 equalling the factorial of 2 to the power of itself. Furthermore, it's one of the only two letters of the alphabet that look alike from all four sides. Not to mention that it looks like two swans in a failed attempt at Kamasutra ...

- 2294

Well, I was thinking more about the "four swans" thing, but that's cool too! I guess I'll make another post once I hit a 2468642 days streak...

- 177

I guess I'll make another post once I hit a 2468642 days streak...

Well, if you ever reach that streak, drinks are on me. ಠ‿↼

(That's over 6763 years, so...)

But you have reached an inspiring beautiful number.

Chapeau!

- 177

Type the following:

![](Put The Wanted Image URL Here)

Just make sure you use an image with small enough pixel size, otherwise it will fill most of the screen...

What a great response **Gh0stwheel**

People may also like to check out [GUIDE] How do I post Images ? : The basics

And associated posts like :

text faces

and
Duo Emoji

Also [GUIDE] images - How to make them smaller Including other links that those posts refer to.

- 605

Formula for numbers whose digits sum is two: https://oeis.org/A052216

All palindromes in base 10: https://oeis.org/A002113

Oh, I love oeis.org! Not something I go to frequently, but every now and then I get a project euler bug and work on a bunch of problems there.

## congratulations

## toutes nos félicitlations

## 祝贺

## 축하해

Thank you for being inspiring !

Also to mention, also as a means of celibration, this post is highlighted here : [GUIDE] Avatar rings and Global Ambassadors.

Yeah ! Thanks for that :D

It is a good resource, and I am also glad we are crediting them - **Icons made by Freepik from www.flaticon.com is licensed by CC 3.0 BY** . Also as I did not know about this resource.

Thanks for all you do that makes our community richer, and that is substantial.

- 896

just thought 2222 was a cool number.

I agree, that is cool and very impressive. Congrats!

- 1210

Finally there is someone who loves languages and the poetry of numbers. Can't wait to see your 3333 days streak :)

Congratulations, you rarely see someone with more than 2000 days of owl watching under his belt.

- 2294

I had it, then decided to remove it cause I thought it was redundant, but I don't know if I can omit the subject as much as you do in Korean, for example, so a correction is definitely welcome.

- 9

It's better to keep it, it is not accurate Chinese without it. Anyway was drawn here by the number thingi and the memes, nice work!

The first page of results in searching this number revealed interesting information from some kind of psychic medium. For what it's worth, it was said that 2222 is a message from your angel to keep the faith. Trust that everything will work out. Now, I have never seen an angel, for all I know they are smacking me on my head to get my attention, but the message in a general sense is not bad. Ancient peoples have said same thing in so many words.

BTW, kudos for your quad doublets.

- 719

Was wondering what **Songve,** **♡** Duo's famous mathematician had to say about this - not the answer I would have expected! However, it does sound a very auspicious number. Well done **erudis!**

- 1140

This is a rather good gif. Did you make it yourself, or did you find it online?

How did you locate :

https://s3.amazonaws.com/www-inside-design/uploads/2019/01/duolingo-welldone.gif

Are there other duolingo gif s that you know of ?

Thank you also for this feedback, again, erudis. The finding the Duo crying gif - was also a "once off" find somewhere on the internet - and I did not record where I got the link from for that.

I accidentally stumbled across it and thought others here might also be interested.

Also, just to mention, I have also taken a copy of these links to [Guide] Duolingo Emoji Again - just in case anyone else is interested.

- 53

Wow! Congratulations on an impressive streak - may it continue as long as you wish. :)

Nice number of course, these days I was trying to learn Hangul but for god sake... I can't memorize alphabets anymore after learning 2 useless kanas, I remember how happy I was when I memorized Hiragana and Katakana now I know that that was in vain. xD Japanese language apart from being difficult it is also nonsensical sometimes, I hope you're enjoying studying Korean and Chinese.

- 107

It is awesome that you made it! Keep going! You are an inspiration for us who learns languages :)

Is 2222 interesting?

Hmm, well it factors to 2 x 11 x 101. That means the sum of every prime factor's individual digits is exactly 2. What else? The last two numbers, taken in binary, are 3 and 5. 2, 3, and 5 are one of only two prime triples separated by less than 2 each. It's not the sum of 2 squares, because 11 mod 4 is 3, but it is the sum of twelve different triples of integers: (1, 14, 45), (21, 25, 34), (7, 18, 43), (5, 9, 46), (19, 30, 31), (5, 26, 39), (13, 17, 42), (6, 31, 35), (15, 29, 34), (7, 27, 38), (10, 21, 41), (18, 23, 37).

2222 is trivially palindromic, so that's not too interesting, but if you take its two prime factors > 2, and multiply 2222 by that, (2 x 11 x 101 x 11 x 101), you get a great palindromic number: 2468642, which is the largest ascending then descending palindromic number with all even digits.

I guess it is a pretty cool number. Keep it up!

[edited to change asterisks to x's, as asterisks seem to be a a markup symbol here)