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231830688 = 2535034801
BaseRepresentation
bin11011101000101…
…11010010100000
3121011020012220210
431310113102200
5433322040223
635000534120
75513346135
oct1564272240
9534205823
10231830688
11109953911
1265781340
133905062b
1422b0a58c
1515545893
hexdd174a0

231830688 has 48 divisors (see below), whose sum is σ = 609892416. Its totient is φ = 77107200.

The previous prime is 231830681. The next prime is 231830689. The reversal of 231830688 is 886038132.

231830688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (231830681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 45888 + ... + 50688.

It is an arithmetic number, because the mean of its divisors is an integer number (12706092).

Almost surely, 2231830688 is an apocalyptic number.

It is an amenable number.

231830688 is an abundant number, since it is smaller than the sum of its proper divisors (378061728).

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

231830688 is a wasteful number, since it uses less digits than its factorization.

231830688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 231830688 is about 15225.9872586312. The cubic root of 231830688 is about 614.3138517179.

The spelling of 231830688 in words is "two hundred thirty-one million, eight hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 503 1006 1509 2012 3018 4024 4801 6036 8048 9602 12072 14403 16096 19204 24144 28806 38408 48288 57612 76816 115224 153632 230448 460896 2414903 4829806 7244709 9659612 14489418 19319224 28978836 38638448 57957672 77276896 115915344 231830688