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22104552976 = 241123121092
BaseRepresentation
bin10100100101100010…
…001011011000010000
32010001111121122012021
4110211202023120100
5330232231143401
614053225141224
71411525412602
oct244542133020
963044548167
1022104552976
119413497900
12434a92a814
1321136cac5c
1410d99d9172
158958d22a1
hex52588b610

22104552976 has 135 divisors (see below), whose sum is σ = 49092820749. Its totient is φ = 9634204800.

The previous prime is 22104552947. The next prime is 22104552997. The reversal of 22104552976 is 67925540122.

The square root of 22104552976 is 148676.

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

It can be written as a sum of positive squares in only one way, i.e., 15406767376 + 6697785600 = 124124^2 + 81840^2 .

It is a super-2 number, since 2×221045529762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 202794010 + ... + 202794118.

Almost surely, 222104552976 is an apocalyptic number.

22104552976 is the 148676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22104552976

22104552976 is an abundant number, since it is smaller than the sum of its proper divisors (26988267773).

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

22104552976 is a wasteful number, since it uses less digits than its factorization.

22104552976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 22104552976 in words is "twenty-two billion, one hundred four million, five hundred fifty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 109 121 124 176 218 242 248 341 436 484 496 682 872 961 968 1199 1364 1744 1922 1936 2398 2728 3379 3751 3844 4796 5456 6758 7502 7688 9592 10571 11881 13189 13516 15004 15376 19184 21142 23762 26378 27032 30008 37169 42284 47524 52756 54064 60016 74338 84568 95048 104749 105512 116281 130691 148676 169136 190096 209498 211024 232562 261382 297352 368311 408859 418996 465124 522764 594704 736622 817718 837992 930248 1045528 1152239 1437601 1473244 1635436 1675984 1860496 2091056 2304478 2875202 2946488 3270872 4051421 4608956 5750404 5892976 6541744 8102842 9217912 11417641 11500808 12674629 16205684 18435824 22835282 23001616 25349258 32411368 44565631 45670564 50698516 64822736 89131262 91341128 101397032 125594051 178262524 182682256 202794064 251188102 356525048 502376204 713050096 1004752408 1381534561 2009504816 2763069122 5526138244 11052276488 22104552976