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232213002120 = 2333511217104527
BaseRepresentation
bin1101100001000011111…
…0010011011110001000
3211012101022201202002000
43120100332103132020
512301033012031440
6254402134311000
722530311644041
oct3302076233610
9735338652060
10232213002120
118a532205500
12390077b8460
1318b89018a88
14b34c3cd8c8
1560914d7730
hex3610f93788

232213002120 has 384 divisors, whose sum is σ = 900864115200. Its totient is φ = 52982138880.

The previous prime is 232213002097. The next prime is 232213002139. The reversal of 232213002120 is 21200312232.

232213002120 is a `hidden beast` number, since 2 + 322 + 1 + 300 + 21 + 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 = 232213002093 and 232213002102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2169297 + ... + 2273823.

It is an arithmetic number, because the mean of its divisors is an integer number (2346000300).

Almost surely, 2232213002120 is an apocalyptic number.

232213002120 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 232213002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450432057600).

232213002120 is an abundant number, since it is smaller than the sum of its proper divisors (668651113080).

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

232213002120 is a wasteful number, since it uses less digits than its factorization.

232213002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104586 (or 104565 counting only the distinct ones).

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

Adding to 232213002120 its reverse (21200312232), we get a palindrome (253413314352).

The spelling of 232213002120 in words is "two hundred thirty-two billion, two hundred thirteen million, two thousand, one hundred twenty".