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23205525120 = 273258348539
BaseRepresentation
bin10101100111001010…
…000011011010000000
32012220020021211001100
4111213022003122000
5340011103300440
614354354534400
71451024465121
oct254712033200
965806254040
1023205525120
119928a06538
1245b7597400
13225a82c26b
1411a1d0c048
1590c3ab230
hex567283680

23205525120 has 192 divisors, whose sum is σ = 81098690400. Its totient is φ = 6113458176.

The previous prime is 23205525073. The next prime is 23205525149. The reversal of 23205525120 is 2152550232.

23205525120 is a `hidden beast` number, since 23 + 20 + 552 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453811 + ... + 502349.

Almost surely, 223205525120 is an apocalyptic number.

23205525120 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 23205525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40549345200).

23205525120 is an abundant number, since it is smaller than the sum of its proper divisors (57893165280).

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

23205525120 is a wasteful number, since it uses less digits than its factorization.

23205525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48647 (or 48632 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 23205525120 in words is "twenty-three billion, two hundred five million, five hundred twenty-five thousand, one hundred twenty".