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23023210320 = 24325116474493
BaseRepresentation
bin10101011100010010…
…100100111101010000
32012102112020021011100
4111130102210331100
5334122420212240
614324323144400
71443352026105
oct253422447520
965375207140
1023023210320
119845002750
124566515100
13222bb27896
141185a10aac
158eb396e30
hex55c4a4f50

23023210320 has 240 divisors, whose sum is σ = 84497841792. Its totient is φ = 5571517440.

The previous prime is 23023210303. The next prime is 23023210349. The reversal of 23023210320 is 2301232032.

It is a happy number.

23023210320 is a `hidden beast` number, since 2 + 302 + 32 + 10 + 320 = 666.

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 junction number, because it is equal to n+sod(n) for n = 23023210293 and 23023210302.

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, 5121994 + ... + 5126486.

Almost surely, 223023210320 is an apocalyptic number.

23023210320 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 23023210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42248920896).

23023210320 is an abundant number, since it is smaller than the sum of its proper divisors (61474631472).

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

23023210320 is a wasteful number, since it uses less digits than its factorization.

23023210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5161 counting only the distinct ones).

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

Adding to 23023210320 its reverse (2301232032), we get a palindrome (25324442352).

The spelling of 23023210320 in words is "twenty-three billion, twenty-three million, two hundred ten thousand, three hundred twenty".