Search a number
-
+
232365012 = 223112160031
BaseRepresentation
bin11011101100110…
…01101111010100
3121012020100212120
431312121233110
5433441140022
635020215540
75521033005
oct1566315724
9535210776
10232365012
1110a189300
126599a5b0
13391a98b9
1422c091ac
15155edd5c
hexdd99bd4

232365012 has 36 divisors (see below), whose sum is σ = 595959168. Its totient is φ = 70413200.

The previous prime is 232365011. The next prime is 232365073. The reversal of 232365012 is 210563232.

232365012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232365011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78564 + ... + 81467.

Almost surely, 2232365012 is an apocalyptic number.

232365012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232365012 is an abundant number, since it is smaller than the sum of its proper divisors (363594156).

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

232365012 is a wasteful number, since it uses less digits than its factorization.

232365012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160060 (or 160047 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 232365012 is about 15243.5236084050. The cubic root of 232365012 is about 614.7854470038.

The spelling of 232365012 in words is "two hundred thirty-two million, three hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 160031 320062 480093 640124 960186 1760341 1920372 3520682 5281023 7041364 10562046 19363751 21124092 38727502 58091253 77455004 116182506 232365012