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22900965568 = 26133271601
BaseRepresentation
bin10101010101000000…
…010000000011000000
32012010000012120212221
4111111000100003000
5333400121344233
614304235100424
71440335665315
oct252500200300
965100176787
1022900965568
119791aa8428
1245315a1714
13220c6c6000
1411736acd0c
158e079b42d
hex5550100c0

22900965568 has 112 divisors (see below), whose sum is σ = 49493261440. Its totient is φ = 10513152000.

The previous prime is 22900965559. The next prime is 22900965587. The reversal of 22900965568 is 86556900922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38104468 + ... + 38105068.

It is an arithmetic number, because the mean of its divisors is an integer number (441904120).

Almost surely, 222900965568 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 22900965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24746630720).

22900965568 is an abundant number, since it is smaller than the sum of its proper divisors (26592295872).

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

22900965568 is an equidigital number, since it uses as much as digits as its factorization.

22900965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 22900965568 in words is "twenty-two billion, nine hundred million, nine hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 271 338 416 542 601 676 832 1084 1202 1352 2168 2197 2404 2704 3523 4336 4394 4808 5408 7046 7813 8672 8788 9616 10816 14092 15626 17344 17576 19232 28184 31252 35152 38464 45799 56368 62504 70304 91598 101569 112736 125008 140608 162871 183196 203138 225472 250016 325742 366392 406276 500032 595387 651484 732784 812552 1190774 1302968 1320397 1465568 1625104 2117323 2381548 2605936 2640794 2931136 3250208 4234646 4763096 5211872 5281588 6500416 8469292 9526192 10423744 10563176 16938584 19052384 21126352 27525199 33877168 38104768 42252704 55050398 67754336 84505408 110100796 135508672 220201592 357827587 440403184 715655174 880806368 1431310348 1761612736 2862620696 5725241392 11450482784 22900965568