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232193494960 = 245717294319559
BaseRepresentation
bin1101100000111111001…
…1111000111110110000
3211012022222000200021121
43120033303320332300
512301013013314320
6254400200232024
722526654066620
oct3301763707660
9735288020247
10232193494960
118a5221a1489
123900116b614
1318b84c78a8b
14b349992880
15608e9328aa
hex360fcf8fb0

232193494960 has 320 divisors, whose sum is σ = 691541452800. Its totient is φ = 70656638976.

The previous prime is 232193494927. The next prime is 232193494961. The reversal of 232193494960 is 69494391232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 232193494898 and 232193494907.

It is not an unprimeable number, because it can be changed into a prime (232193494961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11861661 + ... + 11881219.

It is an arithmetic number, because the mean of its divisors is an integer number (2161067040).

Almost surely, 2232193494960 is an apocalyptic number.

232193494960 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 232193494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345770726400).

232193494960 is an abundant number, since it is smaller than the sum of its proper divisors (459347957840).

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

232193494960 is a wasteful number, since it uses less digits than its factorization.

232193494960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668 (or 19662 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 52.

The spelling of 232193494960 in words is "two hundred thirty-two billion, one hundred ninety-three million, four hundred ninety-four thousand, nine hundred sixty".