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232332441000 = 233531134920173
BaseRepresentation
bin1101100001100000010…
…1111011010110101000
3211012200122110212102020
43120120011323112220
512301304101103000
6254422042304440
722533262110252
oct3303005732650
9735618425366
10232332441000
118a593673720
123903b7b8120
1318ba79a747a
14b360200cd2
15609bc2bba0
hex361817b5a8

232332441000 has 256 divisors, whose sum is σ = 793080288000. Its totient is φ = 56158848000.

The previous prime is 232332440993. The next prime is 232332441049. The reversal of 232332441000 is 144233232.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11506914 + ... + 11527086.

It is an arithmetic number, because the mean of its divisors is an integer number (3097969875).

Almost surely, 2232332441000 is an apocalyptic number.

232332441000 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 232332441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396540144000).

232332441000 is an abundant number, since it is smaller than the sum of its proper divisors (560747847000).

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

232332441000 is a wasteful number, since it uses less digits than its factorization.

232332441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20557 (or 20543 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232332441000 its reverse (144233232), we get a palindrome (232476674232).

The spelling of 232332441000 in words is "two hundred thirty-two billion, three hundred thirty-two million, four hundred forty-one thousand".