Search a number
-
+
232100264 = 231121631471
BaseRepresentation
bin11011101010110…
…01000110101000
3121011201220201002
431311121012220
5433404202024
635010414132
75515551104
oct1565310650
9534656632
10232100264
1110a018400
1265891348
1339116246
1422b7a904
151559a6ae
hexdd591a8

232100264 has 48 divisors (see below), whose sum is σ = 481608960. Its totient is φ = 104781600.

The previous prime is 232100263. The next prime is 232100279. The reversal of 232100264 is 462001232.

232100264 is digitally balanced in base 2 and base 3, because in such bases 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 (232100263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157049 + ... + 158519.

It is an arithmetic number, because the mean of its divisors is an integer number (10033520).

Almost surely, 2232100264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232100264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240804480).

232100264 is an abundant number, since it is smaller than the sum of its proper divisors (249508696).

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

232100264 is a wasteful number, since it uses less digits than its factorization.

232100264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 232100264 is about 15234.8371832455. The cubic root of 232100264 is about 614.5518704271.

Adding to 232100264 its reverse (462001232), we get a palindrome (694101496).

The spelling of 232100264 in words is "two hundred thirty-two million, one hundred thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 163 242 326 484 652 968 1304 1471 1793 2942 3586 5884 7172 11768 14344 16181 19723 32362 39446 64724 78892 129448 157784 177991 239773 355982 479546 711964 959092 1423928 1918184 2637503 5275006 10550012 21100024 29012533 58025066 116050132 232100264