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230452032 = 2634212851
BaseRepresentation
bin11011011110001…
…10101101000000
3121001122011202110
431233012231000
5432443431112
634511215320
75465544546
oct1557065500
9531564673
10230452032
111090a2028
1265217540
1338989c65
142286bd96
151537213c
hexdbc6b40

230452032 has 56 divisors (see below), whose sum is σ = 611400352. Its totient is φ = 76608000.

The previous prime is 230451997. The next prime is 230452039. The reversal of 230452032 is 230254032.

230452032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

230452032 is a modest number, since divided by 52032 gives 2304 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230452039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79407 + ... + 82257.

Almost surely, 2230452032 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 230452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305700176).

230452032 is an abundant number, since it is smaller than the sum of its proper divisors (380948320).

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

230452032 is a wasteful number, since it uses less digits than its factorization.

230452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 230452032 is about 15180.6466265439. The cubic root of 230452032 is about 613.0936912982.

The spelling of 230452032 in words is "two hundred thirty million, four hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 421 842 1263 1684 2526 2851 3368 5052 5702 6736 8553 10104 11404 13472 17106 20208 22808 26944 34212 40416 45616 68424 80832 91232 136848 182464 273696 547392 1200271 2400542 3600813 4801084 7201626 9602168 14403252 19204336 28806504 38408672 57613008 76817344 115226016 230452032