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23332804320 = 2535725091949
BaseRepresentation
bin10101101110101111…
…100101011011100000
32020020002210021021210
4111232233211123200
5340241144214240
614415142550120
71454131364400
oct255657453340
966202707253
1023332804320
11999383a261
124632138340
13227b0044b7
1411b4ba0800
1591864d780
hex56ebe56e0

23332804320 has 288 divisors, whose sum is σ = 85709988000. Its totient is φ = 5320003584.

The previous prime is 23332804309. The next prime is 23332804331. The reversal of 23332804320 is 2340823332.

It is an interprime number because it is at equal distance from previous prime (23332804309) and next prime (23332804331).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11970706 + ... + 11972654.

It is an arithmetic number, because the mean of its divisors is an integer number (297604125).

Almost surely, 223332804320 is an apocalyptic number.

23332804320 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 23332804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854994000).

23332804320 is an abundant number, since it is smaller than the sum of its proper divisors (62377183680).

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

23332804320 is a wasteful number, since it uses less digits than its factorization.

23332804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 23332804320 in words is "twenty-three billion, three hundred thirty-two million, eight hundred four thousand, three hundred twenty".