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23257800216 = 2338729043
BaseRepresentation
bin10101101010010001…
…011101111000011000
32020000212122200000000
4111222101131320120
5340112444101331
614403503213000
71452231016500
oct255221357030
966025580000
1023257800216
1199554705a2
124610ba7160
132268603081
1411a8c38a00
15911c850e6
hex56a45de18

23257800216 has 216 divisors, whose sum is σ = 76096713420. Its totient is φ = 6644350944.

The previous prime is 23257800157. The next prime is 23257800259. The reversal of 23257800216 is 61200875232.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 2567391 + ... + 2576433.

Almost surely, 223257800216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23257800216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38048356710).

23257800216 is an abundant number, since it is smaller than the sum of its proper divisors (52838913204).

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

23257800216 is an frugal number, since it uses more digits than its factorization.

23257800216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 23257800216 in words is "twenty-three billion, two hundred fifty-seven million, eight hundred thousand, two hundred sixteen".