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23131808 = 257372791
BaseRepresentation
bin101100000111…
…1011010100000
31121112012212122
41120033122200
521410204213
62143443412
7400421450
oct130173240
947465778
1023131808
111206a2a7
1278b6568
134a3ba7b
143101d60
15206dd08
hex160f6a0

23131808 has 48 divisors (see below), whose sum is σ = 53472384. Its totient is φ = 9642240.

The previous prime is 23131793. The next prime is 23131811. The reversal of 23131808 is 80813132.

23131808 is nontrivially palindromic in base 6.

It is a house number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6893 + ... + 9683.

It is an arithmetic number, because the mean of its divisors is an integer number (1114008).

Almost surely, 223131808 is an apocalyptic number.

23131808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23131808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26736192).

23131808 is an abundant number, since it is smaller than the sum of its proper divisors (30340576).

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

23131808 is a wasteful number, since it uses less digits than its factorization.

23131808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 23131808 is about 4809.5538254603. The cubic root of 23131808 is about 284.9289163030.

The spelling of 23131808 in words is "twenty-three million, one hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 2791 4144 5582 8288 11164 19537 22328 39074 44656 78148 89312 103267 156296 206534 312592 413068 625184 722869 826136 1445738 1652272 2891476 3304544 5782952 11565904 23131808