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22912906272 = 25317102113751
BaseRepresentation
bin10101010101101101…
…110011010000100000
32012010211200020110020
4111111231303100200
5333411201000042
614305343033440
71440542330004
oct252555632040
965124606406
1022912906272
119798813683
12453559b880
132212017009
1411750da704
158e18593ec
hex555b73420

22912906272 has 96 divisors (see below), whose sum is σ = 63751411584. Its totient is φ = 7180800000.

The previous prime is 22912906271. The next prime is 22912906283. The reversal of 22912906272 is 27260921922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22912906271) 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, 1659397 + ... + 1673147.

It is an arithmetic number, because the mean of its divisors is an integer number (664077204).

Almost surely, 222912906272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22912906272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31875705792).

22912906272 is an abundant number, since it is smaller than the sum of its proper divisors (40838505312).

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

22912906272 is a wasteful number, since it uses less digits than its factorization.

22912906272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 22912906272 in words is "twenty-two billion, nine hundred twelve million, nine hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1021 1632 2042 3063 4084 6126 8168 12252 13751 16336 17357 24504 27502 32672 34714 41253 49008 52071 55004 69428 82506 98016 104142 110008 138856 165012 208284 220016 233767 277712 330024 416568 440032 467534 555424 660048 701301 833136 935068 1320096 1402602 1666272 1870136 2805204 3740272 5610408 7480544 11220816 14039771 22441632 28079542 42119313 56159084 84238626 112318168 168477252 224636336 238676107 336954504 449272672 477352214 673909008 716028321 954704428 1347818016 1432056642 1909408856 2864113284 3818817712 5728226568 7637635424 11456453136 22912906272