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232133030400 = 2935248712413
BaseRepresentation
bin1101100000110000110…
…1001111001000000000
3211012011202020202111110
43120030031033020000
512300402023433100
6254350200243320
722525321126245
oct3301415171000
9735152222443
10232133030400
118a4a1053577
1238ba4a70540
1318b7559852b
14b3419335cc
15608948c250
hex360c34f200

232133030400 has 240 divisors, whose sum is σ = 768473475264. Its totient is φ = 61770055680.

The previous prime is 232133030377. The next prime is 232133030413. The reversal of 232133030400 is 4030331232.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18694594 + ... + 18707006.

Almost surely, 2232133030400 is an apocalyptic number.

232133030400 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 232133030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384236737632).

232133030400 is an abundant number, since it is smaller than the sum of its proper divisors (536340444864).

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

232133030400 is a wasteful number, since it uses less digits than its factorization.

232133030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12931 (or 12910 counting only the distinct ones).

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

Adding to 232133030400 its reverse (4030331232), we get a palindrome (236163361632).

The spelling of 232133030400 in words is "two hundred thirty-two billion, one hundred thirty-three million, thirty thousand, four hundred".