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23338066320 = 24325193075557
BaseRepresentation
bin10101101111000011…
…101010000110010000
32020020110200121101200
4111233003222012100
5340244021110240
614415451431200
71454224201452
oct255703520620
966213617350
1023338066320
119996803718
124633a55500
13227c1275ca
1411b57702d2
15918d3c930
hex56f0ea190

23338066320 has 240 divisors, whose sum is σ = 82785743040. Its totient is φ = 5875670016.

The previous prime is 23338066267. The next prime is 23338066321. The reversal of 23338066320 is 2366083332.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23338066321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4196982 + ... + 4202538.

It is an arithmetic number, because the mean of its divisors is an integer number (344940596).

Almost surely, 223338066320 is an apocalyptic number.

23338066320 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 23338066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41392871520).

23338066320 is an abundant number, since it is smaller than the sum of its proper divisors (59447676720).

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

23338066320 is a wasteful number, since it uses less digits than its factorization.

23338066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 23338066320 in words is "twenty-three billion, three hundred thirty-eight million, sixty-six thousand, three hundred twenty".