Search a number
-
+
232632096 = 2533317321
BaseRepresentation
bin11011101110110…
…10111100100000
3121012201221020120
431313122330200
5434023211341
635030040240
75523224454
oct1567327440
9535657216
10232632096
1110a350a34
1265aa9080
1339271338
1422c78664
1515653066
hexdddaf20

232632096 has 48 divisors (see below), whose sum is σ = 612587808. Its totient is φ = 77299200.

The previous prime is 232632089. The next prime is 232632137. The reversal of 232632096 is 690236232.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 28116 + ... + 35436.

It is an arithmetic number, because the mean of its divisors is an integer number (12762246).

Almost surely, 2232632096 is an apocalyptic number.

It is an amenable number.

232632096 is an abundant number, since it is smaller than the sum of its proper divisors (379955712).

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

232632096 is a wasteful number, since it uses less digits than its factorization.

232632096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 232632096 is about 15252.2816653772. The cubic root of 232632096 is about 615.0209048350.

The spelling of 232632096 in words is "two hundred thirty-two million, six hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 662 993 1324 1986 2648 3972 5296 7321 7944 10592 14642 15888 21963 29284 31776 43926 58568 87852 117136 175704 234272 351408 702816 2423251 4846502 7269753 9693004 14539506 19386008 29079012 38772016 58158024 77544032 116316048 232632096