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23203303200 = 25335272111993
BaseRepresentation
bin10101100111000001…
…100100111100100000
32012220002002221011000
4111213001210330200
5340010021200300
614354235152000
71450666552200
oct254701447440
965802087130
1023203303200
119927729140
1245b68a5600
13225a231b0c
1411a18d0400
1590c0bcc00
hex567064f20

23203303200 has 864 divisors, whose sum is σ = 106547555520. Its totient is φ = 4819046400.

The previous prime is 23203303157. The next prime is 23203303219. The reversal of 23203303200 is 230330232.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×232033032002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11641404 + ... + 11643396.

It is an arithmetic number, because the mean of its divisors is an integer number (123318930).

Almost surely, 223203303200 is an apocalyptic number.

23203303200 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 23203303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53273777760).

23203303200 is an abundant number, since it is smaller than the sum of its proper divisors (83344252320).

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

23203303200 is a wasteful number, since it uses less digits than its factorization.

23203303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23203303200 its reverse (230330232), we get a palindrome (23433633432).

The spelling of 23203303200 in words is "twenty-three billion, two hundred three million, three hundred three thousand, two hundred".