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22134215344344 = 2332814627970919
BaseRepresentation
bin1010000100001100001100…
…00010110000000011011000
32220101000021112011021121020
411002012012002300003120
510400121333112004334
6115024152415442440
74443100330103655
oct502060602600330
986330245137536
1022134215344344
117064082584604
122595913b26420
13c4732ab3b90c
14567431d84c2c
15285b65cd7e49
hex1421860b00d8

22134215344344 has 64 divisors (see below), whose sum is σ = 55534444992000. Its totient is φ = 7351552776960.

The previous prime is 22134215344313. The next prime is 22134215344349. The reversal of 22134215344344 is 44344351243122.

It is a junction number, because it is equal to n+sod(n) for n = 22134215344296 and 22134215344305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134215344349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312070117 + ... + 312141035.

It is an arithmetic number, because the mean of its divisors is an integer number (867725703000).

Almost surely, 222134215344344 is an apocalyptic number.

22134215344344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22134215344344 is an abundant number, since it is smaller than the sum of its proper divisors (33400229647656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22134215344344 is a wasteful number, since it uses less digits than its factorization.

22134215344344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117488 (or 117484 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 42.

Adding to 22134215344344 its reverse (44344351243122), we get a palindrome (66478566587466).

The spelling of 22134215344344 in words is "twenty-two trillion, one hundred thirty-four billion, two hundred fifteen million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 281 562 843 1124 1686 2248 3372 6744 46279 70919 92558 138837 141838 185116 212757 277674 283676 370232 425514 555348 567352 851028 1110696 1702056 13004399 19928239 26008798 39013197 39856478 52017596 59784717 78026394 79712956 104035192 119569434 156052788 159425912 239138868 312105576 478277736 3282060401 6564120802 9846181203 13128241604 19692362406 26256483208 39384724812 78769449624 922258972681 1844517945362 2766776918043 3689035890724 5533553836086 7378071781448 11067107672172 22134215344344