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22257138681 = 324160317449
BaseRepresentation
bin10100101110101000…
…001111101111111001
32010110010201210102200
4110232220033233321
5331040311414211
614120315420413
71415360362101
oct245650175771
963403653380
1022257138681
119491635798
124391a54709
1321391c3a5b
141111d98201
158a3ec2b56
hex52ea0fbf9

22257138681 has 12 divisors (see below), whose sum is σ = 32933327700. Its totient is φ = 14476187520.

The previous prime is 22257138679. The next prime is 22257138691. The reversal of 22257138681 is 18683175222.

It can be written as a sum of positive squares in 2 ways, for example, as 9654831081 + 12602307600 = 98259^2 + 112260^2 .

It is not a de Polignac number, because 22257138681 - 21 = 22257138679 is a prime.

It is a super-2 number, since 2×222571386812 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22257138611) 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, 30158356 + ... + 30159093.

It is an arithmetic number, because the mean of its divisors is an integer number (2744443975).

Almost surely, 222257138681 is an apocalyptic number.

It is an amenable number.

22257138681 is a deficient number, since it is larger than the sum of its proper divisors (10676189019).

22257138681 is a wasteful number, since it uses less digits than its factorization.

22257138681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60317496 (or 60317493 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 22257138681 in words is "twenty-two billion, two hundred fifty-seven million, one hundred thirty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 41 123 369 60317449 180952347 542857041 2473015409 7419046227 22257138681