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232136120 = 23518132063
BaseRepresentation
bin11011101011000…
…01110110111000
3121011210201220002
431311201312320
5433411323440
635011252132
75516060456
oct1565416670
9534721802
10232136120
1110a042337
12658aa048
1339129668
1422b899d6
15155a6115
hexdd61db8

232136120 has 32 divisors (see below), whose sum is σ = 525208320. Its totient is φ = 92338560.

The previous prime is 232136117. The next prime is 232136123. The reversal of 232136120 is 21631232.

It is a happy number.

232136120 is digitally balanced in base 3, 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 (232136117) and next prime (232136123).

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

It is a junction number, because it is equal to n+sod(n) for n = 232136092 and 232136101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232136123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8792 + ... + 23271.

It is an arithmetic number, because the mean of its divisors is an integer number (16412760).

Almost surely, 2232136120 is an apocalyptic number.

232136120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232136120 is an abundant number, since it is smaller than the sum of its proper divisors (293072200).

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

232136120 is a wasteful number, since it uses less digits than its factorization.

232136120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32255 (or 32251 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 232136120 is about 15236.0139144069. The cubic root of 232136120 is about 614.5835151380.

Adding to 232136120 its reverse (21631232), we get a palindrome (253767352).

The spelling of 232136120 in words is "two hundred thirty-two million, one hundred thirty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 32063 64126 128252 160315 256504 320630 641260 1282520 5803403 11606806 23213612 29017015 46427224 58034030 116068060 232136120