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230756932 = 22731833203
BaseRepresentation
bin11011100000100…
…01001001000100
3121002012200000001
431300101021010
5433033210212
634521531044
75501254510
oct1560211104
9532180001
10230756932
1110929010a
1265343a84
1338a65983
142290b140
15153d2657
hexdc11244

230756932 has 48 divisors (see below), whose sum is σ = 482291712. Its totient is φ = 94523040.

The previous prime is 230756927. The next prime is 230756947. The reversal of 230756932 is 239657032.

It is a junction number, because it is equal to n+sod(n) for n = 230756891 and 230756900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70443 + ... + 73645.

It is an arithmetic number, because the mean of its divisors is an integer number (10047744).

Almost surely, 2230756932 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 230756932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241145856).

230756932 is an abundant number, since it is smaller than the sum of its proper divisors (251534780).

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

230756932 is a wasteful number, since it uses less digits than its factorization.

230756932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 230756932 is about 15190.6856988090. The cubic root of 230756932 is about 613.3639570668.

The spelling of 230756932 in words is "two hundred thirty million, seven hundred fifty-six thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 83 124 166 217 332 434 581 868 1162 2324 2573 3203 5146 6406 10292 12812 18011 22421 36022 44842 72044 89684 99293 198586 265849 397172 531698 695051 1063396 1390102 1860943 2780204 3721886 7443772 8241319 16482638 32965276 57689233 115378466 230756932