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22316052017 = 723712308909
BaseRepresentation
bin10100110010001000…
…111110111000110001
32010121020120220100002
4110302020332320301
5331200402131032
614130222235345
71420004212100
oct246210767061
963536526302
1022316052017
1195119141a6
1243a9725b55
13214848020c
141119b32037
158a925d862
hex53223ee31

22316052017 has 12 divisors (see below), whose sum is σ = 26661099060. Its totient is φ = 18611068896.

The previous prime is 22316051993. The next prime is 22316052023. The reversal of 22316052017 is 71025061322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10599937936 + 11716114081 = 102956^2 + 108241^2 .

It is not a de Polignac number, because 22316052017 - 210 = 22316050993 is a prime.

It is a super-3 number, since 3×223160520173 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22316052047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6152642 + ... + 6156267.

It is an arithmetic number, because the mean of its divisors is an integer number (2221758255).

Almost surely, 222316052017 is an apocalyptic number.

It is an amenable number.

22316052017 is a deficient number, since it is larger than the sum of its proper divisors (4345047043).

22316052017 is a wasteful number, since it uses less digits than its factorization.

22316052017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308960 (or 12308953 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 22316052017 in words is "twenty-two billion, three hundred sixteen million, fifty-two thousand, seventeen".

Divisors: 1 7 37 49 259 1813 12308909 86162363 455429633 603136541 3188007431 22316052017