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23023249200 = 24325274321247
BaseRepresentation
bin10101011100010010…
…101110011100110000
32012102112022020111100
4111130102232130300
5334122422433300
614324324044400
71443352250340
oct253422563460
965375266440
1023023249200
119845029986
124566533700
13222bb3c4a3
141185a20d20
158eb3a3700
hex55c4ae730

23023249200 has 360 divisors, whose sum is σ = 93438844928. Its totient is φ = 5139832320.

The previous prime is 23023249181. The next prime is 23023249211. The reversal of 23023249200 is 294232032.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1072977 + ... + 1094223.

Almost surely, 223023249200 is an apocalyptic number.

23023249200 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 23023249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46719422464).

23023249200 is an abundant number, since it is smaller than the sum of its proper divisors (70415595728).

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

23023249200 is a wasteful number, since it uses less digits than its factorization.

23023249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21321 (or 21307 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 23023249200 in words is "twenty-three billion, twenty-three million, two hundred forty-nine thousand, two hundred".