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232405472 = 25134211327
BaseRepresentation
bin11011101101000…
…11100111100000
3121012022102101002
431312203213200
5433443433342
635021131132
75521261655
oct1566434740
9535272332
10232405472
1110a206742
12659b9aa8
13391c2140
1422c19c2c
151560ad32
hexdda39e0

232405472 has 48 divisors (see below), whose sum is σ = 494286912. Its totient is φ = 106928640.

The previous prime is 232405469. The next prime is 232405489. The reversal of 232405472 is 274504232.

232405472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174473 + ... + 175799.

It is an arithmetic number, because the mean of its divisors is an integer number (10297644).

Almost surely, 2232405472 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 232405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247143456).

232405472 is an abundant number, since it is smaller than the sum of its proper divisors (261881440).

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

232405472 is a wasteful number, since it uses less digits than its factorization.

232405472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 232405472 is about 15244.8506716202. The cubic root of 232405472 is about 614.8211276131.

The spelling of 232405472 in words is "two hundred thirty-two million, four hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 421 842 1327 1684 2654 3368 5308 5473 6736 10616 10946 13472 17251 21232 21892 34502 42464 43784 69004 87568 138008 175136 276016 552032 558667 1117334 2234668 4469336 7262671 8938672 14525342 17877344 29050684 58101368 116202736 232405472