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22874038272 = 213325572
BaseRepresentation
bin10101010011011001…
…100010000000000000
32012001010112112120200
4111103121202000000
5333321223211042
614301434005200
71436561055141
oct252331420000
965033475520
1022874038272
119778886568
124524576800
132206c587b7
14116dc9dac8
158dd22cc4c
hex553662000

22874038272 has 126 divisors (see below), whose sum is σ = 66195364053. Its totient is φ = 7610990592.

The previous prime is 22874038267. The next prime is 22874038279. The reversal of 22874038272 is 27283047822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22874038272 is a `hidden beast` number, since 22 + 87 + 403 + 82 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17908862976 + 4965175296 = 133824^2 + 70464^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106944.

It is not an unprimeable number, because it can be changed into a prime (22874038279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41066218 + ... + 41066774.

Almost surely, 222874038272 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 22874038272

22874038272 is an abundant number, since it is smaller than the sum of its proper divisors (43321325781).

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

22874038272 is an frugal number, since it uses more digits than its factorization.

22874038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 22874038272 in words is "twenty-two billion, eight hundred seventy-four million, thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 557 576 768 1024 1114 1152 1536 1671 2048 2228 2304 3072 3342 4096 4456 4608 5013 6144 6684 8192 8912 9216 10026 12288 13368 17824 18432 20052 24576 26736 35648 36864 40104 53472 71296 73728 80208 106944 142592 160416 213888 285184 310249 320832 427776 570368 620498 641664 855552 930747 1140736 1240996 1283328 1711104 1861494 2281472 2481992 2566656 2792241 3422208 3722988 4562944 4963984 5133312 5584482 6844416 7445976 9927968 10266624 11168964 13688832 14891952 19855936 20533248 22337928 29783904 39711872 41066496 44675856 59567808 79423744 89351712 119135616 158847488 178703424 238271232 317694976 357406848 476542464 635389952 714813696 953084928 1270779904 1429627392 1906169856 2541559808 2859254784 3812339712 5718509568 7624679424 11437019136 22874038272