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23114448000 = 273253723997
BaseRepresentation
bin10101100001101110…
…100111110010000000
32012122212220121201200
4111201232213302000
5334314244314000
614341342501200
71445540365140
oct254156476200
965585817650
1023114448000
119891559996
124590b94800
1322449c0c87
141193ba0920
159043ba500
hex561ba7c80

23114448000 has 768 divisors, whose sum is σ = 99092298240. Its totient is φ = 5048524800.

The previous prime is 23114447989. The next prime is 23114448047. The reversal of 23114448000 is 84441132.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23183502 + ... + 23184498.

It is an arithmetic number, because the mean of its divisors is an integer number (129026430).

Almost surely, 223114448000 is an apocalyptic number.

23114448000 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 23114448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49546149120).

23114448000 is an abundant number, since it is smaller than the sum of its proper divisors (75977850240).

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

23114448000 is a wasteful number, since it uses less digits than its factorization.

23114448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 23114448000 its reverse (84441132), we get a palindrome (23198889132).

The spelling of 23114448000 in words is "twenty-three billion, one hundred fourteen million, four hundred forty-eight thousand".