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22121807904 = 2532710973119
BaseRepresentation
bin10100100110100100…
…000000000000100000
32010002201002021111200
4110212210000000200
5330301140323104
614055043041200
71412125156530
oct244644000040
963081067450
1022121807904
119422202779
124354670200
13211715ca81
1410dc00b4c0
1589718eb39
hex526900020

22121807904 has 72 divisors (see below), whose sum is σ = 71895882240. Its totient is φ = 6320515968.

The previous prime is 22121807899. The next prime is 22121807909. The reversal of 22121807904 is 40970812122.

It is an interprime number because it is at equal distance from previous prime (22121807899) and next prime (22121807909).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (22121807909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5484544 + ... + 5488575.

It is an arithmetic number, because the mean of its divisors is an integer number (998553920).

Almost surely, 222121807904 is an apocalyptic number.

22121807904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22121807904 is an abundant number, since it is smaller than the sum of its proper divisors (49774074336).

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

22121807904 is a wasteful number, since it uses less digits than its factorization.

22121807904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10973142 (or 10973131 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 22121807904 in words is "twenty-two billion, one hundred twenty-one million, eight hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 10973119 21946238 32919357 43892476 65838714 76811833 87784952 98758071 131677428 153623666 175569904 197516142 230435499 263354856 307247332 351139808 395032284 460870998 526709712 614494664 691306497 790064568 921741996 1053419424 1228989328 1382612994 1580129136 1843483992 2457978656 2765225988 3160258272 3686967984 5530451976 7373935968 11060903952 22121807904