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230357232 = 24327232647
BaseRepresentation
bin11011011101011…
…11100011110000
3121001110100201100
431232233203300
5432432412412
634505204400
75465001300
oct1556574360
9531410640
10230357232
11109037886
1265190700
1338955a71
1422845600
1515353edc
hexdbaf8f0

230357232 has 90 divisors (see below), whose sum is σ = 749957208. Its totient is φ = 65814336.

The previous prime is 230357219. The next prime is 230357263. The reversal of 230357232 is 232753032.

It is a junction number, because it is equal to n+sod(n) for n = 230357196 and 230357205.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 9268 + ... + 23379.

Almost surely, 2230357232 is an apocalyptic number.

It is an amenable number.

230357232 is an abundant number, since it is smaller than the sum of its proper divisors (519599976).

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

230357232 is a wasteful number, since it uses less digits than its factorization.

230357232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32675 (or 32659 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 230357232 is about 15177.5239087277. The cubic root of 230357232 is about 613.0096112506.

The spelling of 230357232 in words is "two hundred thirty million, three hundred fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 32647 65294 97941 130588 195882 228529 261176 293823 391764 457058 522352 587646 685587 783528 914116 1175292 1371174 1567056 1599703 1828232 2056761 2350584 2742348 3199406 3656464 4113522 4701168 4799109 5484696 6398812 8227044 9598218 10969392 12797624 14397327 16454088 19196436 25595248 28794654 32908176 38392872 57589308 76785744 115178616 230357232