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230972 = 22773113
BaseRepresentation
bin111000011000111100
3102201211112
4320120330
524342342
64541152
71651250
oct703074
9381745
10230972
11148595
12b17b8
1381191
1460260
1548682
hex3863c

230972 has 24 divisors (see below), whose sum is σ = 472416. Its totient is φ = 96768.

The previous prime is 230969. The next prime is 230977. The reversal of 230972 is 279032.

230972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1988 + ... + 2100.

It is an arithmetic number, because the mean of its divisors is an integer number (19684).

2230972 is an apocalyptic number.

It is an amenable number.

230972 is an abundant number, since it is smaller than the sum of its proper divisors (241444).

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

230972 is a wasteful number, since it uses less digits than its factorization.

230972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 230972 is about 480.5954639819. The cubic root of 230972 is about 61.3554451884.

The spelling of 230972 in words is "two hundred thirty thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 73 113 146 226 292 452 511 791 1022 1582 2044 3164 8249 16498 32996 57743 115486 230972