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22129890744 = 2331372839739
BaseRepresentation
bin10100100111000010…
…110101010110111000
32010010021021221002010
4110213002311112320
5330310223000434
614055532205520
71412253652623
oct244702652670
963107257063
1022129890744
119426823505
1243573098a0
132118a2cb10
1410dd112dba
15897c399e9
hex5270b55b8

22129890744 has 64 divisors (see below), whose sum is σ = 59594774400. Its totient is φ = 6807563136.

The previous prime is 22129890737. The next prime is 22129890779. The reversal of 22129890744 is 44709892122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22129890693 and 22129890702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2267427 + ... + 2277165.

It is an arithmetic number, because the mean of its divisors is an integer number (931168350).

Almost surely, 222129890744 is an apocalyptic number.

22129890744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22129890744 is an abundant number, since it is smaller than the sum of its proper divisors (37464883656).

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

22129890744 is a wasteful number, since it uses less digits than its factorization.

22129890744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17044 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 22129890744 in words is "twenty-two billion, one hundred twenty-nine million, eight hundred ninety thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 7283 9739 14566 19478 21849 29132 29217 38956 43698 58264 58434 77912 87396 94679 116868 126607 174792 189358 233736 253214 284037 378716 379821 506428 568074 757432 759642 1012856 1136148 1519284 2272296 3038568 70929137 141858274 212787411 283716548 425574822 567433096 851149644 922078781 1702299288 1844157562 2766236343 3688315124 5532472686 7376630248 11064945372 22129890744