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22082197824 = 2632244715667
BaseRepresentation
bin10100100100001100…
…111001100101000000
32002222221112212200200
4110210030321211000
5330211020312244
614051110045200
71411134404331
oct244414714500
962887485620
1022082197824
119401909075
124343349800
13210bba185b
1410d6a5a288
15893968669
hex524339940

22082197824 has 84 divisors (see below), whose sum is σ = 63324540864. Its totient is φ = 7357254912.

The previous prime is 22082197799. The next prime is 22082197843. The reversal of 22082197824 is 42879128022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22082197824.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1401639 + ... + 1417305.

Almost surely, 222082197824 is an apocalyptic number.

22082197824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22082197824 is an abundant number, since it is smaller than the sum of its proper divisors (41242343040).

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

22082197824 is a wasteful number, since it uses less digits than its factorization.

22082197824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18132 (or 18119 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 22082197824 in words is "twenty-two billion, eighty-two million, one hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2447 4894 7341 9788 14682 15667 19576 22023 29364 31334 39152 44046 47001 58728 62668 78304 88092 94002 117456 125336 141003 156608 176184 188004 234912 250672 282006 352368 376008 469824 501344 564012 704736 752016 1002688 1128024 1409472 1504032 2256048 3008064 4512096 9024192 38337149 76674298 115011447 153348596 230022894 306697192 345034341 460045788 613394384 690068682 920091576 1226788768 1380137364 1840183152 2453577536 2760274728 3680366304 5520549456 7360732608 11041098912 22082197824