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232035728 = 24294112197
BaseRepresentation
bin11011101010010…
…01010110010000
3121011121122011212
431311021112100
5433400120403
635005155252
75515162001
oct1565112620
9534548155
10232035728
11109a83971
126585bb28
13390c2a62
1422b611a8
15155864d8
hexdd49590

232035728 has 40 divisors (see below), whose sum is σ = 476453880. Its totient is φ = 109276160.

The previous prime is 232035709. The next prime is 232035751. The reversal of 232035728 is 827530232.

It can be written as a sum of positive squares in 4 ways, for example, as 12166144 + 219869584 = 3488^2 + 14828^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232035694 and 232035703.

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, 12926 + ... + 25122.

It is an arithmetic number, because the mean of its divisors is an integer number (11911347).

Almost surely, 2232035728 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 232035728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238226940).

232035728 is an abundant number, since it is smaller than the sum of its proper divisors (244418152).

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

232035728 is a wasteful number, since it uses less digits than its factorization.

232035728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12275 (or 12269 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 232035728 is about 15232.7189956357. The cubic root of 232035728 is about 614.4949059709.

The spelling of 232035728 in words is "two hundred thirty-two million, thirty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2378 4756 9512 12197 19024 24394 48788 97576 195152 353713 500077 707426 1000154 1414852 2000308 2829704 4000616 5659408 8001232 14502233 29004466 58008932 116017864 232035728