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23231936 = 267133989
BaseRepresentation
bin101100010011…
…1110111000000
31121201022020002
41120213313000
521421410221
62145535132
7401316410
oct130476700
947638202
1023231936
1112128552
1279444a8
134a75510
14312a640
15208d80b
hex1627dc0

23231936 has 56 divisors (see below), whose sum is σ = 56753760. Its totient is φ = 9188352.

The previous prime is 23231891. The next prime is 23231941. The reversal of 23231936 is 63913232.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 23231899 and 23231908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3830 + ... + 7818.

It is an arithmetic number, because the mean of its divisors is an integer number (1013460).

Almost surely, 223231936 is an apocalyptic number.

23231936 is a gapful number since it is divisible by the number (26) 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 23231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28376880).

23231936 is an abundant number, since it is smaller than the sum of its proper divisors (33521824).

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

23231936 is a wasteful number, since it uses less digits than its factorization.

23231936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4011 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

The square root of 23231936 is about 4819.9518669796. The cubic root of 23231936 is about 285.3394375690.

The spelling of 23231936 in words is "twenty-three million, two hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 3989 5824 7978 15956 27923 31912 51857 55846 63824 103714 111692 127648 207428 223384 255296 362999 414856 446768 725998 829712 893536 1451996 1659424 1787072 2903992 3318848 5807984 11615968 23231936