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232480962 = 23374314303
BaseRepresentation
bin11011101101101…
…10000011000010
3121012110020221000
431312312003002
5434003342322
635022512430
75522025030
oct1566660302
9535406830
10232480962
1110a25842a
1265a35716
133921a5cc
1422c39550
15156233ac
hexddb60c2

232480962 has 64 divisors (see below), whose sum is σ = 604200960. Its totient is φ = 64873872.

The previous prime is 232480951. The next prime is 232480973. The reversal of 232480962 is 269084232.

232480962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232480951) and next prime (232480973).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9103 + ... + 23405.

It is an arithmetic number, because the mean of its divisors is an integer number (9440640).

Almost surely, 2232480962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232480962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302100480).

232480962 is an abundant number, since it is smaller than the sum of its proper divisors (371719998).

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

232480962 is a wasteful number, since it uses less digits than its factorization.

232480962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14364 (or 14358 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 232480962 is about 15247.3263885837. The cubic root of 232480962 is about 614.8876891877.

The spelling of 232480962 in words is "two hundred thirty-two million, four hundred eighty thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1806 2322 2709 5418 8127 14303 16254 28606 42909 85818 100121 128727 200242 257454 300363 386181 600726 615029 772362 901089 1230058 1802178 1845087 2703267 3690174 4305203 5406534 5535261 8610406 11070522 12915609 16605783 25831218 33211566 38746827 77493654 116240481 232480962