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232797144 = 23321145971
BaseRepresentation
bin11011110000000…
…11001111011000
3121020001022122110
431320003033120
5434044002034
635033352320
75524512606
oct1570031730
9536038573
10232797144
1110a453a38
1265b686a0
13392cb4b8
1422cbc876
1515686de9
hexde033d8

232797144 has 32 divisors (see below), whose sum is σ = 584763840. Its totient is φ = 77229600.

The previous prime is 232797137. The next prime is 232797151. The reversal of 232797144 is 441797232.

232797144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232797137) and next prime (232797151).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 17922 + ... + 28049.

It is an arithmetic number, because the mean of its divisors is an integer number (18273870).

Almost surely, 2232797144 is an apocalyptic number.

232797144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232797144 is an abundant number, since it is smaller than the sum of its proper divisors (351966696).

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

232797144 is a wasteful number, since it uses less digits than its factorization.

232797144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46191 (or 46187 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 232797144 is about 15257.6913063543. The cubic root of 232797144 is about 615.1663189539.

The spelling of 232797144 in words is "two hundred thirty-two million, seven hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 211 422 633 844 1266 1688 2532 5064 45971 91942 137913 183884 275826 367768 551652 1103304 9699881 19399762 29099643 38799524 58199286 77599048 116398572 232797144