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230286924 = 22327979421
BaseRepresentation
bin11011011100111…
…10011001001100
3121001022210021100
431232132121030
5432423140144
634503503100
75464256310
oct1556363114
9531283240
10230286924
11108a99a7a
1265157a90
133892ca6a
1422827b40
151533d269
hexdb9e64c

230286924 has 72 divisors (see below), whose sum is σ = 672203168. Its totient is φ = 65111040.

The previous prime is 230286919. The next prime is 230286937. The reversal of 230286924 is 429682032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19734 + ... + 29154.

Almost surely, 2230286924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230286924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336101584).

230286924 is an abundant number, since it is smaller than the sum of its proper divisors (441916244).

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

230286924 is a wasteful number, since it uses less digits than its factorization.

230286924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 230286924 is about 15175.2075438855. The cubic root of 230286924 is about 612.9472387565.

The spelling of 230286924 in words is "two hundred thirty million, two hundred eighty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1746 2037 2716 3492 4074 6111 8148 9421 12222 18842 24444 28263 37684 56526 65947 84789 113052 131894 169578 197841 263788 339156 395682 593523 791364 913837 1187046 1827674 2374092 2741511 3655348 5483022 6396859 8224533 10966044 12793718 16449066 19190577 25587436 32898132 38381154 57571731 76762308 115143462 230286924