Search a number
-
+
232380100 = 22522323801
BaseRepresentation
bin11011101100111…
…01011011000100
3121012021010120101
431312131123010
5433442130400
635020413444
75521125001
oct1566353304
9535233511
10232380100
1110a199677
12659a7284
13391b3724
1422c108a8
151560356a
hexdd9d6c4

232380100 has 18 divisors (see below), whose sum is σ = 504265034. Its totient is φ = 92952000.

The previous prime is 232380077. The next prime is 232380107. The reversal of 232380100 is 1083232.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 78570496 + 153809604 = 8864^2 + 12402^2 .

It is not an unprimeable number, because it can be changed into a prime (232380107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1161801 + ... + 1162000.

Almost surely, 2232380100 is an apocalyptic number.

232380100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232380100 is an abundant number, since it is smaller than the sum of its proper divisors (271884934).

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

232380100 is a wasteful number, since it uses less digits than its factorization.

232380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323815 (or 2323808 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 232380100 is about 15244.0184990704. The cubic root of 232380100 is about 614.7987531982.

The spelling of 232380100 in words is "two hundred thirty-two million, three hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2323801 4647602 9295204 11619005 23238010 46476020 58095025 116190050 232380100