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23202256480 = 25513234311279
BaseRepresentation
bin10101100110111101…
…100101011001100000
32012220000010202022121
4111212331211121200
5340004234201410
614354200514024
71450654632424
oct254675453140
965800122277
1023202256480
119927083787
1245b647b914
132259c56560
1411a16dab84
1590be629da
hex566f65660

23202256480 has 192 divisors, whose sum is σ = 63036610560. Its totient is φ = 8003229696.

The previous prime is 23202256477. The next prime is 23202256507. The reversal of 23202256480 is 8465220232.

It is a super-3 number, since 3×232022564803 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2051481 + ... + 2062759.

It is an arithmetic number, because the mean of its divisors is an integer number (328315680).

Almost surely, 223202256480 is an apocalyptic number.

23202256480 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 23202256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31518305280).

23202256480 is an abundant number, since it is smaller than the sum of its proper divisors (39834354080).

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

23202256480 is a wasteful number, since it uses less digits than its factorization.

23202256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11373 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 23202256480 in words is "twenty-three billion, two hundred two million, two hundred fifty-six thousand, four hundred eighty".