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23220313200 = 2433527307147
BaseRepresentation
bin10101101000000010…
…011101110001110000
32012221021010010111000
4111220002131301300
5340023400010300
614400043522000
71451264256060
oct255002356160
965837103430
1023220313200
119936296a97
124600529300
1322609092c6
1411a3c7b3a0
1590d82cc00
hex56809dc70

23220313200 has 240 divisors, whose sum is σ = 94454152960. Its totient is φ = 5307482880.

The previous prime is 23220313183. The next prime is 23220313217. The reversal of 23220313200 is 231302232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23220313183) and next prime (23220313217).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77974 + ... + 229173.

Almost surely, 223220313200 is an apocalyptic number.

23220313200 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 23220313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47227076480).

23220313200 is an abundant number, since it is smaller than the sum of its proper divisors (71233839760).

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

23220313200 is a wasteful number, since it uses less digits than its factorization.

23220313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307181 (or 307164 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23220313200 its reverse (231302232), we get a palindrome (23451615432).

The spelling of 23220313200 in words is "twenty-three billion, two hundred twenty million, three hundred thirteen thousand, two hundred".