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230664792 = 233231034057
BaseRepresentation
bin11011011111110…
…10101001011000
3121002000222121110
431233322221120
5433022233132
634515540320
75500422051
oct1557725130
9532028543
10230664792
11109227966
12652ba6a0
1338a32a57
14228c5728
15153b51cc
hexdbfaa58

230664792 has 64 divisors (see below), whose sum is σ = 607726080. Its totient is φ = 72813312.

The previous prime is 230664787. The next prime is 230664793. The reversal of 230664792 is 297466032.

230664792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230664792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230664793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54828 + ... + 58884.

It is an arithmetic number, because the mean of its divisors is an integer number (9495720).

Almost surely, 2230664792 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 230664792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303863040).

230664792 is an abundant number, since it is smaller than the sum of its proper divisors (377061288).

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

230664792 is a wasteful number, since it uses less digits than its factorization.

230664792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 230664792 is about 15187.6526165171. The cubic root of 230664792 is about 613.2823085572.

The spelling of 230664792 in words is "two hundred thirty million, six hundred sixty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 103 138 184 206 276 309 412 552 618 824 1236 2369 2472 4057 4738 7107 8114 9476 12171 14214 16228 18952 24342 28428 32456 48684 56856 93311 97368 186622 279933 373244 417871 559866 746488 835742 1119732 1253613 1671484 2239464 2507226 3342968 5014452 9611033 10028904 19222066 28833099 38444132 57666198 76888264 115332396 230664792