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231146328 = 2337343653
BaseRepresentation
bin11011100011100…
…00001101011000
3121002221110011010
431301300031120
5433133140303
634534133520
75504466000
oct1561601530
9532843133
10231146328
11109526726
12654b12a0
1338b70c9a
14229ad000
151545cc03
hexdc70358

231146328 has 128 divisors (see below), whose sum is σ = 690624000. Its totient is φ = 64407168.

The previous prime is 231146309. The next prime is 231146341. The reversal of 231146328 is 823641132.

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

It is a junction number, because it is equal to n+sod(n) for n = 231146295 and 231146304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353650 + ... + 354302.

It is an arithmetic number, because the mean of its divisors is an integer number (5395500).

Almost surely, 2231146328 is an apocalyptic number.

231146328 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 231146328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345312000).

231146328 is an abundant number, since it is smaller than the sum of its proper divisors (459477672).

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

231146328 is a wasteful number, since it uses less digits than its factorization.

231146328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 708 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 231146328 is about 15203.4972292562. The cubic root of 231146328 is about 613.7087748064.

The spelling of 231146328 in words is "two hundred thirty-one million, one hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 343 344 392 516 588 602 653 686 903 1029 1032 1176 1204 1306 1372 1806 1959 2058 2107 2408 2612 2744 3612 3918 4116 4214 4571 5224 6321 7224 7836 8232 8428 9142 12642 13713 14749 15672 16856 18284 25284 27426 28079 29498 31997 36568 44247 50568 54852 56158 58996 63994 84237 88494 95991 109704 112316 117992 127988 168474 176988 191982 196553 223979 224632 255976 336948 353976 383964 393106 447958 589659 671937 673896 767928 786212 895916 1179318 1343874 1375871 1572424 1791832 2358636 2687748 2751742 4127613 4717272 5375496 5503484 8255226 9631097 11006968 16510452 19262194 28893291 33020904 38524388 57786582 77048776 115573164 231146328