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232135328 = 2543732311
BaseRepresentation
bin11011101011000…
…01101010100000
3121011210200210202
431311201222200
5433411312303
635011244332
75516055245
oct1565415240
9534720722
10232135328
1110a041787
12658a96a8
13391291a9
1422b895cc
15155a5c88
hexdd61aa0

232135328 has 48 divisors (see below), whose sum is σ = 474255936. Its totient is φ = 111767040.

The previous prime is 232135247. The next prime is 232135339. The reversal of 232135328 is 823531232.

It is a happy number.

232135328 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 232135328.

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 7 ways as a sum of consecutive naturals, for example, 99293 + ... + 101603.

It is an arithmetic number, because the mean of its divisors is an integer number (9880332).

Almost surely, 2232135328 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 232135328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237127968).

232135328 is an abundant number, since it is smaller than the sum of its proper divisors (242120608).

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

232135328 is a wasteful number, since it uses less digits than its factorization.

232135328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2429 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 232135328 is about 15235.9879233347. The cubic root of 232135328 is about 614.5828161936.

The spelling of 232135328 in words is "two hundred thirty-two million, one hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 73 86 146 172 292 344 584 688 1168 1376 2311 2336 3139 4622 6278 9244 12556 18488 25112 36976 50224 73952 99373 100448 168703 198746 337406 397492 674812 794984 1349624 1589968 2699248 3179936 5398496 7254229 14508458 29016916 58033832 116067664 232135328