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23227888320 = 2633571331953
BaseRepresentation
bin10101101000011111…
…010111001011000000
32012221210100222121000
4111220133113023000
5340032314411240
614400514132000
71451415536010
oct255037271300
965853328530
1023227888320
11993a5a031a
124602b81000
13226235c220
1411a4c8dc40
1590e327430
hex5687d72c0

23227888320 has 896 divisors, whose sum is σ = 104215265280. Its totient is φ = 4737761280.

The previous prime is 23227888319. The next prime is 23227888331. The reversal of 23227888320 is 2388872232.

23227888320 is a `hidden beast` number, since 23 + 227 + 8 + 88 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24372964 + ... + 24373916.

It is an arithmetic number, because the mean of its divisors is an integer number (116311680).

Almost surely, 223227888320 is an apocalyptic number.

23227888320 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 23227888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52107632640).

23227888320 is an abundant number, since it is smaller than the sum of its proper divisors (80987376960).

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

23227888320 is a wasteful number, since it uses less digits than its factorization.

23227888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 23227888320 in words is "twenty-three billion, two hundred twenty-seven million, eight hundred eighty-eight thousand, three hundred twenty".