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23315569200 = 24335271123253
BaseRepresentation
bin10101101101101101…
…110101101000110000
32020011220100122011000
4111231231311220300
5340222241203300
614413325322000
71453532032260
oct255555655060
966156318130
1023315569200
119985038260
124628406300
13227757b6c1
1411b27957a0
15916d96c00
hex56db75a30

23315569200 has 1440 divisors, whose sum is σ = 110197946880. Its totient is φ = 4546713600.

The previous prime is 23315569183. The next prime is 23315569219. The reversal of 23315569200 is 296551332.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 439916374 + ... + 439916426.

It is an arithmetic number, because the mean of its divisors is an integer number (76526352).

Almost surely, 223315569200 is an apocalyptic number.

23315569200 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 23315569200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55098973440).

23315569200 is an abundant number, since it is smaller than the sum of its proper divisors (86882377680).

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

23315569200 is a wasteful number, since it uses less digits than its factorization.

23315569200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 23315569200 in words is "twenty-three billion, three hundred fifteen million, five hundred sixty-nine thousand, two hundred".