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232350400 = 2652145219
BaseRepresentation
bin11011101100101…
…10001011000000
3121012012121211101
431312112023000
5433440203100
635020024144
75520642262
oct1566261300
9535177741
10232350400
1110a179327
1265992054
13391a3059
1422c03b32
15155e986a
hexdd962c0

232350400 has 42 divisors (see below), whose sum is σ = 571731140. Its totient is φ = 92939520.

The previous prime is 232350383. The next prime is 232350421. The reversal of 232350400 is 4053232.

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 5 ways as a sum of consecutive naturals, for example, 71010 + ... + 74209.

Almost surely, 2232350400 is an apocalyptic number.

232350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232350400 is an abundant number, since it is smaller than the sum of its proper divisors (339380740).

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

232350400 is a wasteful number, since it uses less digits than its factorization.

232350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145241 (or 145226 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 232350400 is about 15243.0443153591. The cubic root of 232350400 is about 614.7725600475.

The spelling of 232350400 in words is "two hundred thirty-two million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 145219 290438 580876 726095 1161752 1452190 2323504 2904380 3630475 4647008 5808760 7260950 9294016 11617520 14521900 23235040 29043800 46470080 58087600 116175200 232350400