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23214366720 = 2133456997
BaseRepresentation
bin10101100111101011…
…110010000000000000
32012220211221000110000
4111213223302000000
5340020334213340
614355312240000
71451162601306
oct254753620000
965824830400
1023214366720
1199329a5346
1245ba540000
13225c60678c
1411a3170276
1590d055d30
hex567af2000

23214366720 has 280 divisors, whose sum is σ = 83234617884. Its totient is φ = 6189613056.

The previous prime is 23214366719. The next prime is 23214366751. The reversal of 23214366720 is 2766341232.

It can be written as a sum of positive squares in 2 ways, for example, as 22600912896 + 613453824 = 150336^2 + 24768^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3314262 + ... + 3321258.

Almost surely, 223214366720 is an apocalyptic number.

23214366720 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 23214366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41617308942).

23214366720 is an abundant number, since it is smaller than the sum of its proper divisors (60020251164).

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

23214366720 is an frugal number, since it uses more digits than its factorization.

23214366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 23214366720 in words is "twenty-three billion, two hundred fourteen million, three hundred sixty-six thousand, seven hundred twenty".