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22142531016 = 2332307535153
BaseRepresentation
bin10100100111110011…
…000011010111001000
32010011011002010021100
4110213303003113020
5330321441443031
614101103141400
71412466260004
oct244763032710
963134063240
1022142531016
119432977311
12435b5a4860
13211b537378
141100a83704
15898dd4de6
hex527cc35c8

22142531016 has 24 divisors (see below), whose sum is σ = 59969355030. Its totient is φ = 7380843648.

The previous prime is 22142530999. The next prime is 22142531023. The reversal of 22142531016 is 61013524122.

22142531016 is a `hidden beast` number, since 221 + 425 + 3 + 1 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15492780900 + 6649750116 = 124470^2 + 81546^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153767505 + ... + 153767648.

Almost surely, 222142531016 is an apocalyptic number.

It is an amenable number.

22142531016 is an abundant number, since it is smaller than the sum of its proper divisors (37826824014).

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

22142531016 is a wasteful number, since it uses less digits than its factorization.

22142531016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307535165 (or 307535158 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 22142531016 in words is "twenty-two billion, one hundred forty-two million, five hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 307535153 615070306 922605459 1230140612 1845210918 2460281224 2767816377 3690421836 5535632754 7380843672 11071265508 22142531016