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20232875520 = 2933511132389
BaseRepresentation
bin10010110101111110…
…010010111000000000
31221020001201120102000
4102311332102320000
5312414104004040
613143404424000
71314250414164
oct226576227000
957201646360
1020232875520
118642a26930
123b07b48000
131ba5a029c0
14d9d1c4ca4
157d641b130
hex4b5f92e00

20232875520 has 1280 divisors, whose sum is σ = 89094297600. Its totient is φ = 4282122240.

The previous prime is 20232875519. The next prime is 20232875569. The reversal of 20232875520 is 2557823202.

It is a happy number.

20232875520 is a `hidden beast` number, since 2 + 0 + 23 + 2 + 87 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 227335636 + ... + 227335724.

It is an arithmetic number, because the mean of its divisors is an integer number (69604920).

Almost surely, 220232875520 is an apocalyptic number.

20232875520 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 20232875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44547148800).

20232875520 is an abundant number, since it is smaller than the sum of its proper divisors (68861422080).

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

20232875520 is a wasteful number, since it uses less digits than its factorization.

20232875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 20232875520 in words is "twenty billion, two hundred thirty-two million, eight hundred seventy-five thousand, five hundred twenty".