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22531664 = 241782837
BaseRepresentation
bin101010111110…
…0111001010000
31120101201122002
41111330321100
521232003124
62122533132
7362341661
oct125747120
946351562
1022531664
111179a411
1276671a8
13488b85c
142dc7368
151ea10ae
hex157ce50

22531664 has 20 divisors (see below), whose sum is σ = 46223604. Its totient is φ = 10603008.

The previous prime is 22531661. The next prime is 22531667. The reversal of 22531664 is 46613522.

It is an interprime number because it is at equal distance from previous prime (22531661) and next prime (22531667).

It can be written as a sum of positive squares in 2 ways, for example, as 6210064 + 16321600 = 2492^2 + 4040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22531661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41147 + ... + 41690.

Almost surely, 222531664 is an apocalyptic number.

It is an amenable number.

22531664 is an abundant number, since it is smaller than the sum of its proper divisors (23691940).

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

22531664 is a wasteful number, since it uses less digits than its factorization.

22531664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82862 (or 82856 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 22531664 is about 4746.7529954696. The cubic root of 22531664 is about 282.4431775447.

The spelling of 22531664 in words is "twenty-two million, five hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 82837 165674 331348 662696 1325392 1408229 2816458 5632916 11265832 22531664