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232312120 = 23510157503
BaseRepresentation
bin11011101100011…
…00110100111000
3121012010200022121
431312030310320
5433432441440
635015131024
75520422545
oct1566146470
9535120277
10232312120
1110a152597
1265973a74
133918b7c1
1422bd3bcc
15155dd34a
hexdd8cd38

232312120 has 32 divisors (see below), whose sum is σ = 527886720. Its totient is φ = 92003200.

The previous prime is 232312111. The next prime is 232312147. The reversal of 232312120 is 21213232.

232312120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232312094 and 232312103.

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, 24712 + ... + 32791.

It is an arithmetic number, because the mean of its divisors is an integer number (16496460).

Almost surely, 2232312120 is an apocalyptic number.

232312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232312120 is an abundant number, since it is smaller than the sum of its proper divisors (295574600).

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

232312120 is a wasteful number, since it uses less digits than its factorization.

232312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57615 (or 57611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 232312120 is about 15241.7886089527. The cubic root of 232312120 is about 614.7387966939.

Adding to 232312120 its reverse (21213232), we get a palindrome (253525352).

The spelling of 232312120 in words is "two hundred thirty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 57503 115006 230012 287515 460024 575030 1150060 2300120 5807803 11615606 23231212 29039015 46462424 58078030 116156060 232312120