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232397928 = 233272331979
BaseRepresentation
bin11011101101000…
…01110001101000
3121012022001000200
431312201301220
5433443213203
635021032200
75521230660
oct1566416150
9535261020
10232397928
1110a201004
12659b5660
13391bb889
1422c171a0
15156089a3
hexdda1c68

232397928 has 96 divisors (see below), whose sum is σ = 722779200. Its totient is φ = 66081024.

The previous prime is 232397887. The next prime is 232397933. The reversal of 232397928 is 829793232.

232397928 is a `hidden beast` number, since 232 + 397 + 9 + 28 = 666.

232397928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 116443 + ... + 118421.

It is an arithmetic number, because the mean of its divisors is an integer number (7528950).

Almost surely, 2232397928 is an apocalyptic number.

232397928 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 232397928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361389600).

232397928 is an abundant number, since it is smaller than the sum of its proper divisors (490381272).

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

232397928 is a wasteful number, since it uses less digits than its factorization.

232397928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2224 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 232397928 is about 15244.6032418033. The cubic root of 232397928 is about 614.8144750721.

The spelling of 232397928 in words is "two hundred thirty-two million, three hundred ninety-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 233 252 466 504 699 932 1398 1631 1864 1979 2097 2796 3262 3958 4194 4893 5592 5937 6524 7916 8388 9786 11874 13048 13853 14679 15832 16776 17811 19572 23748 27706 29358 35622 39144 41559 47496 55412 58716 71244 83118 110824 117432 124677 142488 166236 249354 332472 461107 498708 922214 997416 1383321 1844428 2766642 3227749 3688856 4149963 5533284 6455498 8299926 9683247 11066568 12910996 16599852 19366494 25821992 29049741 33199704 38732988 58099482 77465976 116198964 232397928