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22155525252 = 223276113910369
BaseRepresentation
bin10100101000100100…
…100111110010000100
32010012001112022000100
4110220210213302010
5330333303302002
614102245444100
71413014600040
oct245044476204
963161468010
1022155525252
11943a242053
124363a10630
132121136a73
1411026a7020
1589a10011c
hex528927c84

22155525252 has 144 divisors (see below), whose sum is σ = 65528444800. Its totient is φ = 6180986880.

The previous prime is 22155525233. The next prime is 22155525341. The reversal of 22155525252 is 25252555122.

22155525252 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 552 + 52 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2131524 + ... + 2141892.

Almost surely, 222155525252 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 22155525252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32764222400).

22155525252 is an abundant number, since it is smaller than the sum of its proper divisors (43372919548).

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

22155525252 is a wasteful number, since it uses less digits than its factorization.

22155525252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10586 (or 10581 counting only the distinct ones).

The product of its digits is 100000, while the sum is 36.

The spelling of 22155525252 in words is "twenty-two billion, one hundred fifty-five million, five hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 139 183 244 252 278 366 417 427 549 556 732 834 854 973 1098 1251 1281 1668 1708 1946 2196 2502 2562 2919 3843 3892 5004 5124 5838 7686 8479 8757 10369 11676 15372 16958 17514 20738 25437 31107 33916 35028 41476 50874 59353 62214 72583 76311 93321 101748 118706 124428 145166 152622 178059 186642 217749 237412 290332 305244 356118 373284 435498 534177 632509 653247 712236 870996 1068354 1265018 1306494 1441291 1897527 2136708 2530036 2612988 2882582 3795054 4323873 4427563 5692581 5765164 7590108 8647746 8855126 10089037 11385162 12971619 13282689 17295492 17710252 20178074 22770324 25943238 26565378 30267111 39848067 40356148 51886476 53130756 60534222 79696134 87918751 90801333 121068444 159392268 175837502 181602666 263756253 351675004 363205332 527512506 615431257 791268759 1055025012 1230862514 1582537518 1846293771 2461725028 3165075036 3692587542 5538881313 7385175084 11077762626 22155525252