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23131585 = 541532129
BaseRepresentation
bin101100000111…
…1010111000001
31121112012120101
41120033113001
521410202320
62143442401
7400421011
oct130172701
947465511
1023131585
111206a114
1278b6401
134a3b939
143101c41
15206dc0a
hex160f5c1

23131585 has 16 divisors (see below), whose sum is σ = 28985040. Its totient is φ = 17704960.

The previous prime is 23131573. The next prime is 23131601. The reversal of 23131585 is 58513132.

It can be written as a sum of positive squares in 8 ways, for example, as 2989441 + 20142144 = 1729^2 + 4488^2 .

It is not a de Polignac number, because 23131585 - 27 = 23131457 is a prime.

It is a super-2 number, since 2×231315852 = 1070140449224450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9801 + ... + 11929.

It is an arithmetic number, because the mean of its divisors is an integer number (1811565).

Almost surely, 223131585 is an apocalyptic number.

It is an amenable number.

23131585 is a deficient number, since it is larger than the sum of its proper divisors (5853455).

23131585 is a wasteful number, since it uses less digits than its factorization.

23131585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228.

The product of its digits is 3600, while the sum is 28.

The square root of 23131585 is about 4809.5306423808. The cubic root of 23131585 is about 284.9280006900.

It can be divided in two parts, 23131 and 585, that added together give a square (23716 = 1542).

The spelling of 23131585 in words is "twenty-three million, one hundred thirty-one thousand, five hundred eighty-five".

Divisors: 1 5 41 53 205 265 2129 2173 10645 10865 87289 112837 436445 564185 4626317 23131585