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232100 = 225211211
BaseRepresentation
bin111000101010100100
3102210101022
4320222210
524411400
64550312
71654451
oct705244
9383338
10232100
11149420
12b2398
138184b
1460828
1548b85
hex38aa4

232100 has 36 divisors (see below), whose sum is σ = 552048. Its totient is φ = 84000.

The previous prime is 232091. The next prime is 232103. The reversal of 232100 is 1232.

232100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (232103) by changing a digit.

232100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995 + ... + 1205.

2232100 is an apocalyptic number.

232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276024).

232100 is an abundant number, since it is smaller than the sum of its proper divisors (319948).

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

232100 is a wasteful number, since it uses less digits than its factorization.

232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 232100 is about 481.7675788178. The cubic root of 232100 is about 61.4551637422.

Adding to 232100 its reverse (1232), we get a palindrome (233332).

The spelling of 232100 in words is "two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 211 220 275 422 550 844 1055 1100 2110 2321 4220 4642 5275 9284 10550 11605 21100 23210 46420 58025 116050 232100