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23232484800 = 263452725609
BaseRepresentation
bin10101101000110000…
…111001010111000000
32012222010000111210000
4111220300321113000
5340040004003200
614401200440000
71451502601560
oct255060712700
965863014700
1023232484800
11994214a768
124604619000
1322632ab435
1411a5728da0
1590e934300
hex568c395c0

23232484800 has 420 divisors, whose sum is σ = 97600119760. Its totient is φ = 5310074880.

The previous prime is 23232484753. The next prime is 23232484813. The reversal of 23232484800 is 848423232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 894396 + ... + 920004.

Almost surely, 223232484800 is an apocalyptic number.

23232484800 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 23232484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48800059880).

23232484800 is an abundant number, since it is smaller than the sum of its proper divisors (74367634960).

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

23232484800 is a wasteful number, since it uses less digits than its factorization.

23232484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25650 (or 25626 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 23232484800 in words is "twenty-three billion, two hundred thirty-two million, four hundred eighty-four thousand, eight hundred".