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22121582340 = 223511132578273
BaseRepresentation
bin10100100110100011…
…001000111100000100
32010002200122211002110
4110212203020330010
5330301111113330
614055034141020
71412123230104
oct244643107404
963080584073
1022121582340
119422069260
124354581770
1321170b11c0
1410dbd8d204
15897147db0
hex5268c8f04

22121582340 has 96 divisors (see below), whose sum is σ = 72769205376. Its totient is φ = 4950282240.

The previous prime is 22121582339. The next prime is 22121582381. The reversal of 22121582340 is 4328512122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22121582298 and 22121582307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280557 + ... + 1297716.

It is an arithmetic number, because the mean of its divisors is an integer number (758012556).

Almost surely, 222121582340 is an apocalyptic number.

22121582340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121582340 is an abundant number, since it is smaller than the sum of its proper divisors (50647623036).

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

22121582340 is a wasteful number, since it uses less digits than its factorization.

22121582340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578309 (or 2578307 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 22121582340 in words is "twenty-two billion, one hundred twenty-one million, five hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 2578273 5156546 7734819 10313092 12891365 15469638 25782730 28361003 30939276 33517549 38674095 51565460 56722006 67035098 77348190 85083009 100552647 113444012 134070196 141805015 154696380 167587745 170166018 201105294 283610030 335175490 340332036 368693039 402210588 425415045 502763235 567220060 670350980 737386078 850830090 1005526470 1106079117 1474772156 1701660180 1843465195 2011052940 2212158234 3686930390 4424316468 5530395585 7373860780 11060791170 22121582340