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228243856726080 = 26355133161139859
BaseRepresentation
bin110011111001011000101010…
…000000001001100001000000
31002221010220021210221011200000
4303321120222000021201000
5214404021404310213310
62125233440311400000
766035034354333066
oct6371305200114100
91087126253834600
10228243856726080
11667a87488a9188
1221723231983000
139a483c3574610
1440510c10aa036
151b5c22e6ba4c0
hexcf962a009840

228243856726080 has 2688 divisors, whose sum is σ = 927582497587200. Its totient is φ = 53032867430400.

The previous prime is 228243856726069. The next prime is 228243856726087. The reversal of 228243856726080 is 80627658342822.

It is a happy number.

228243856726080 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 4 + 3 + 8 + 567 + 2 + 60 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 228243856725999 and 228243856726017.

It is not an unprimeable number, because it can be changed into a prime (228243856726087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 265708796691 + ... + 265708797549.

It is an arithmetic number, because the mean of its divisors is an integer number (345082774400).

Almost surely, 2228243856726080 is an apocalyptic number.

228243856726080 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 228243856726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463791248793600).

228243856726080 is an abundant number, since it is smaller than the sum of its proper divisors (699338640861120).

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

228243856726080 is a wasteful number, since it uses less digits than its factorization.

228243856726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 228243856726080 in words is "two hundred twenty-eight trillion, two hundred forty-three billion, eight hundred fifty-six million, seven hundred twenty-six thousand, eighty".