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230876096 = 26113171149
BaseRepresentation
bin11011100001011…
…10001111000000
3121002102201110112
431300232033000
5433101013341
634524250452
75502262103
oct1560561700
9532381415
10230876096
111093616a0
12653a0a28
1338aa7c99
142293c73a
1515407aeb
hexdc2e3c0

230876096 has 112 divisors (see below), whose sum is σ = 526694400. Its totient is φ = 99456000.

The previous prime is 230876069. The next prime is 230876111. The reversal of 230876096 is 690678032.

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 15 ways as a sum of consecutive naturals, for example, 1549430 + ... + 1549578.

Almost surely, 2230876096 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 230876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

230876096 is an abundant number, since it is smaller than the sum of its proper divisors (295818304).

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

230876096 is a wasteful number, since it uses less digits than its factorization.

230876096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 230876096 is about 15194.6074644921. The cubic root of 230876096 is about 613.4695202729.

The spelling of 230876096 in words is "two hundred thirty million, eight hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 71 88 124 142 149 176 248 284 298 341 352 496 568 596 682 704 781 992 1136 1192 1364 1562 1639 1984 2201 2272 2384 2728 3124 3278 4402 4544 4619 4768 5456 6248 6556 8804 9238 9536 10579 10912 12496 13112 17608 18476 21158 21824 24211 24992 26224 35216 36952 42316 48422 49984 50809 52448 70432 73904 84632 96844 101618 104896 116369 140864 147808 169264 193688 203236 232738 295616 327949 338528 387376 406472 465476 655898 677056 774752 812944 930952 1311796 1549504 1625888 1861904 2623592 3251776 3607439 3723808 5247184 7214878 7447616 10494368 14429756 20988736 28859512 57719024 115438048 230876096