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228808722599424 = 29331110127753783
BaseRepresentation
bin110100000001100110101110…
…101000011100111000000000
31010000010220022021201200001000
4310001212232220130320000
5214442300230441140144
62130345135343412000
766123612306126012
oct6401465650347000
91100126267650030
10228808722599424
11669a6263970370
12217b47b62b4000
139a89754279266
1440705890cc1b2
151b6bc8ed11769
hexd019aea1ce00

228808722599424 has 640 divisors, whose sum is σ = 748884664028160. Its totient is φ = 68400377856000.

The previous prime is 228808722599383. The next prime is 228808722599459. The reversal of 228808722599424 is 424995227808822.

228808722599424 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 0 + 8 + 7 + 2 + 2 + 599 + 4 + 24 = 666.

It is a super-2 number, since 2×2288087225994242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4254267637 + ... + 4254321419.

It is an arithmetic number, because the mean of its divisors is an integer number (1170132287544).

Almost surely, 2228808722599424 is an apocalyptic number.

228808722599424 is a gapful number since it is divisible by the number (24) 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 228808722599424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374442332014080).

228808722599424 is an abundant number, since it is smaller than the sum of its proper divisors (520075941428736).

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

228808722599424 is a wasteful number, since it uses less digits than its factorization.

228808722599424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54199 (or 54177 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 228808722599424 in words is "two hundred twenty-eight trillion, eight hundred eight billion, seven hundred twenty-two million, five hundred ninety-nine thousand, four hundred twenty-four".