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232233132000 = 25353971311523
BaseRepresentation
bin1101100001001000101…
…1000101111111100000
3211012102201121110002010
43120102023011333200
512301103140211000
6254404133552520
722530645023532
oct3302213057740
9735381543063
10232233132000
118a542604371
12390124a5740
1318b9024634c
14b350d4d852
156093161d50
hex36122c5fe0

232233132000 has 384 divisors, whose sum is σ = 775015008768. Its totient is φ = 60782592000.

The previous prime is 232233131981. The next prime is 232233132017. The reversal of 232233132000 is 231332232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152483239 + ... + 152484761.

It is an arithmetic number, because the mean of its divisors is an integer number (2018268252).

Almost surely, 2232233132000 is an apocalyptic number.

232233132000 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 232233132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387507504384).

232233132000 is an abundant number, since it is smaller than the sum of its proper divisors (542781876768).

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

232233132000 is a wasteful number, since it uses less digits than its factorization.

232233132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 232233132000 its reverse (231332232), we get a palindrome (232464464232).

The spelling of 232233132000 in words is "two hundred thirty-two billion, two hundred thirty-three million, one hundred thirty-two thousand".