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232542200 = 235211105701
BaseRepresentation
bin11011101110001…
…00111111111000
3121012120100221002
431313010333320
5434012322300
635024104132
75522401412
oct1567047770
9535510832
10232542200
1110a29a440
1265a65048
133923c447
1422c539b2
15156365d5
hexddc4ff8

232542200 has 48 divisors (see below), whose sum is σ = 589817160. Its totient is φ = 84560000.

The previous prime is 232542199. The next prime is 232542203. The reversal of 232542200 is 2245232.

232542200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232542203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50651 + ... + 55050.

Almost surely, 2232542200 is an apocalyptic number.

232542200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232542200 is an abundant number, since it is smaller than the sum of its proper divisors (357274960).

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

232542200 is a wasteful number, since it uses less digits than its factorization.

232542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105728 (or 105719 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 232542200 is about 15249.3344117047. The cubic root of 232542200 is about 614.9416738040.

Adding to 232542200 its reverse (2245232), we get a palindrome (234787432).

The spelling of 232542200 in words is "two hundred thirty-two million, five hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 105701 211402 422804 528505 845608 1057010 1162711 2114020 2325422 2642525 4228040 4650844 5285050 5813555 9301688 10570100 11627110 21140200 23254220 29067775 46508440 58135550 116271100 232542200