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22158531936 = 253323248481
BaseRepresentation
bin10100101000110000…
…000101110101100000
32010012021012001102000
4110220300011311200
5330340041010221
614102434124000
71413052261632
oct245060056540
963167161360
1022158531936
119440a06012
124364a20600
13212194a478
141102c4aa52
1589a4e5e26
hex528c05d60

22158531936 has 144 divisors (see below), whose sum is σ = 67562575920. Its totient is φ = 7064893440.

The previous prime is 22158531931. The next prime is 22158531947. The reversal of 22158531936 is 63913585122.

22158531936 is a `hidden beast` number, since 2 + 2 + 1 + 585 + 31 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 22158531891 and 22158531900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22158531931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432816 + ... + 481296.

It is an arithmetic number, because the mean of its divisors is an integer number (469184555).

Almost surely, 222158531936 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 22158531936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33781287960).

22158531936 is an abundant number, since it is smaller than the sum of its proper divisors (45404043984).

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

22158531936 is a wasteful number, since it uses less digits than its factorization.

22158531936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48546 (or 48509 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 22158531936 in words is "twenty-two billion, one hundred fifty-eight million, five hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 529 552 621 736 828 864 1058 1104 1242 1587 1656 2116 2208 2484 3174 3312 4232 4761 4968 6348 6624 8464 9522 9936 12696 14283 16928 19044 19872 25392 28566 38088 48481 50784 57132 76176 96962 114264 145443 152352 193924 228528 290886 387848 436329 457056 581772 775696 872658 1115063 1163544 1308987 1551392 1745316 2230126 2327088 2617974 3345189 3490632 4460252 4654176 5235948 6690378 6981264 8920504 10035567 10471896 13380756 13962528 17841008 20071134 20943792 25646449 26761512 30106701 35682016 40142268 41887584 51292898 53523024 60213402 76939347 80284536 102585796 107046048 120426804 153878694 160569072 205171592 230818041 240853608 307757388 321138144 410343184 461636082 481707216 615514776 692454123 820686368 923272164 963414432 1231029552 1384908246 1846544328 2462059104 2769816492 3693088656 5539632984 7386177312 11079265968 22158531936