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22153032324 = 22324657132137
BaseRepresentation
bin10100101000011011…
…000111001010000100
32010011212211122100200
4110220123013022010
5330332134013244
614102120210500
71412654445033
oct245033071204
963155748320
1022153032324
11943889a085
124363009a30
132120773167
14110221871a
15899cab669
hex5286c7284

22153032324 has 36 divisors (see below), whose sum is σ = 56010391164. Its totient is φ = 7382702592.

The previous prime is 22153032323. The next prime is 22153032347. The reversal of 22153032324 is 42323035122.

22153032324 is a `hidden beast` number, since 22 + 15 + 303 + 2 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2508206724 + 19644825600 = 50082^2 + 140160^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×221530323242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22153032323) 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, 101584 + ... + 233720.

It is an arithmetic number, because the mean of its divisors is an integer number (1555844199).

Almost surely, 222153032324 is an apocalyptic number.

It is an amenable number.

22153032324 is an abundant number, since it is smaller than the sum of its proper divisors (33857358840).

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

22153032324 is a wasteful number, since it uses less digits than its factorization.

22153032324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136804 (or 136799 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22153032324 its reverse (42323035122), we get a palindrome (64476067446).

The spelling of 22153032324 in words is "twenty-two billion, one hundred fifty-three million, thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4657 9314 13971 18628 27942 41913 55884 83826 132137 167652 264274 396411 528548 792822 1189233 1585644 2378466 4756932 615362009 1230724018 1846086027 2461448036 3692172054 5538258081 7384344108 11076516162 22153032324