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22855997124 = 22343722272
BaseRepresentation
bin10101010010010100…
…101101011011000100
32011222212120221210000
4111102110231123010
5333302113401444
614255551201300
71436251525062
oct252224553304
964885527700
1022855997124
119769683a24
12451a516230
1322032acb6c
14116b725032
158db867469
hex55252d6c4

22855997124 has 135 divisors (see below), whose sum is σ = 61680317853. Its totient is φ = 7380100512.

The previous prime is 22855997113. The next prime is 22855997147. The reversal of 22855997124 is 42179955822.

The square root of 22855997124 is 151182.

It is a perfect power (a square), and thus also a powerful number.

22855997124 is a `hidden beast` number, since 2 + 28 + 5 + 599 + 7 + 1 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20451860100 + 2404137024 = 143010^2 + 49032^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 100687099 + ... + 100687325.

Almost surely, 222855997124 is an apocalyptic number.

22855997124 is the 151182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22855997124

22855997124 is an abundant number, since it is smaller than the sum of its proper divisors (38824320729).

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

22855997124 is an equidigital number, since it uses as much as digits as its factorization.

22855997124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 269 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 22855997124 in words is "twenty-two billion, eight hundred fifty-five million, nine hundred ninety-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 227 324 333 444 454 666 681 908 999 1332 1362 1369 1998 2043 2724 2738 2997 3996 4086 4107 5476 5994 6129 8172 8214 8399 11988 12258 12321 16428 16798 18387 24516 24642 25197 33596 36774 36963 49284 50394 51529 73548 73926 75591 100788 103058 110889 147852 151182 154587 206116 221778 226773 302364 309174 310763 443556 453546 463761 618348 621526 680319 907092 927522 932289 1243052 1360638 1391283 1855044 1864578 1906573 2721276 2782566 2796867 3729156 3813146 4173849 5565132 5593734 5719719 7626292 8347698 8390601 11187468 11439438 16695396 16781202 17159157 22878876 25171803 33562404 34318314 50343606 51477471 68636628 70543201 100687212 102954942 141086402 154432413 205909884 211629603 282172804 308864826 423259206 617729652 634888809 846518412 1269777618 1904666427 2539555236 3809332854 5713999281 7618665708 11427998562 22855997124