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23109226560 = 2633571073571
BaseRepresentation
bin10101100001011010…
…101101000001000000
32012122112002100021000
4111201122231001000
5334311430222220
614341034532000
71445445120240
oct254132550100
965575070230
1023109226560
119889612a52
12458b297000
1322438b3474
141193201b20
15903bd8390
hex5616ad040

23109226560 has 448 divisors, whose sum is σ = 94067619840. Its totient is φ = 5231278080.

The previous prime is 23109226529. The next prime is 23109226561. The reversal of 23109226560 is 6562290132.

23109226560 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 92 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (23109226561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6469575 + ... + 6473145.

Almost surely, 223109226560 is an apocalyptic number.

23109226560 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 23109226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47033809920).

23109226560 is an abundant number, since it is smaller than the sum of its proper divisors (70958393280).

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

23109226560 is a wasteful number, since it uses less digits than its factorization.

23109226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23109226560 in words is "twenty-three billion, one hundred nine million, two hundred twenty-six thousand, five hundred sixty".