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22160518268 = 2273167834591
BaseRepresentation
bin10100101000110111…
…101010110001111100
32010012101220222010212
4110220313222301330
5330341043041033
614102544451552
71413105203660
oct245067526174
963171828125
1022160518268
119442042409
124365619bb8
132122194605
1411032068a0
1589a789748
hex528deac7c

22160518268 has 96 divisors (see below), whose sum is σ = 47003271168. Its totient is φ = 8942788800.

The previous prime is 22160518169. The next prime is 22160518277. The reversal of 22160518268 is 86281506122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4824653 + ... + 4829243.

It is an arithmetic number, because the mean of its divisors is an integer number (489617408).

Almost surely, 222160518268 is an apocalyptic number.

22160518268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22160518268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23501635584).

22160518268 is an abundant number, since it is smaller than the sum of its proper divisors (24842752900).

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

22160518268 is a wasteful number, since it uses less digits than its factorization.

22160518268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 22160518268 in words is "twenty-two billion, one hundred sixty million, five hundred eighteen thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 67 83 124 134 166 217 268 332 434 469 581 868 938 1162 1876 2077 2324 2573 4154 4591 5146 5561 8308 9182 10292 11122 14539 18011 18364 22244 29078 32137 36022 38927 58156 64274 72044 77854 128548 142321 155708 172391 284642 307597 344782 381053 569284 615194 689564 762106 996247 1206737 1230388 1524212 1992494 2153179 2413474 2667371 3984988 4306358 4826948 5334742 8612716 9535507 10669484 11812643 19071014 23625286 25530551 38142028 47250572 51061102 66748549 82688501 102122204 133497098 165377002 178713857 266994196 330754004 357427714 714855428 791447081 1582894162 3165788324 5540129567 11080259134 22160518268