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232338536960 = 2952371149373
BaseRepresentation
bin1101100001100001110…
…1001011101000000000
3211012201001221120111112
43120120131023220000
512301312131140320
6254422421102452
722533364656605
oct3303035135000
9735631846445
10232338536960
118a597057702
1239041857a28
1318ba903004a
14b360d4a6ac
15609c532ec5
hex361874ba00

232338536960 has 320 divisors, whose sum is σ = 595022630400. Its totient is φ = 86821109760.

The previous prime is 232338536957. The next prime is 232338536987. The reversal of 232338536960 is 69635833232.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 232338536899 and 232338536908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622891334 + ... + 622891706.

It is an arithmetic number, because the mean of its divisors is an integer number (1859445720).

Almost surely, 2232338536960 is an apocalyptic number.

232338536960 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 232338536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297511315200).

232338536960 is an abundant number, since it is smaller than the sum of its proper divisors (362684093440).

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

232338536960 is a wasteful number, since it uses less digits than its factorization.

232338536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 50.

The spelling of 232338536960 in words is "two hundred thirty-two billion, three hundred thirty-eight million, five hundred thirty-six thousand, nine hundred sixty".