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232132001220 = 223257237397039
BaseRepresentation
bin1101100000110000100…
…1010011110111000100
3211012011200022110201200
43120030021103313010
512300401243014340
6254350122222500
722525306311600
oct3301411236704
9735150273650
10232132001220
118a4a0510309
1238ba4654a30
1318b752c7c52
14b341746500
156089337330
hex360c253dc4

232132001220 has 216 divisors, whose sum is σ = 819429811200. Its totient is φ = 53037016704.

The previous prime is 232132001159. The next prime is 232132001221. The reversal of 232132001220 is 22100231232.

232132001220 is a `hidden beast` number, since 2 + 321 + 320 + 0 + 1 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232132001193 and 232132001202.

It is not an unprimeable number, because it can be changed into a prime (232132001221) 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 71 ways as a sum of consecutive naturals, for example, 32974461 + ... + 32981499.

Almost surely, 2232132001220 is an apocalyptic number.

232132001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232132001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409714905600).

232132001220 is an abundant number, since it is smaller than the sum of its proper divisors (587297809980).

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

232132001220 is a wasteful number, since it uses less digits than its factorization.

232132001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10807 (or 10795 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232132001220 its reverse (22100231232), we get a palindrome (254232232452).

The spelling of 232132001220 in words is "two hundred thirty-two billion, one hundred thirty-two million, one thousand, two hundred twenty".