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23014499200 = 27527112331131
BaseRepresentation
bin10101011011110001…
…010110001110000000
32012101220211200202021
4111123301112032000
5334113202433300
614323412331224
71443215005210
oct253361261600
965356750667
1023014499200
1198400a2980
124563613b14
13222a097884
1411847c4240
158ea725d1a
hex55bc56380

23014499200 has 768 divisors, whose sum is σ = 76932218880. Its totient is φ = 6589440000.

The previous prime is 23014499143. The next prime is 23014499201. The reversal of 23014499200 is 299441032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23014499201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175683135 + ... + 175683265.

It is an arithmetic number, because the mean of its divisors is an integer number (100172160).

Almost surely, 223014499200 is an apocalyptic number.

23014499200 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 23014499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38466109440).

23014499200 is an abundant number, since it is smaller than the sum of its proper divisors (53917719680).

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

23014499200 is a wasteful number, since it uses less digits than its factorization.

23014499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 23014499200 in words is "twenty-three billion, fourteen million, four hundred ninety-nine thousand, two hundred".