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225050422826768 = 247112314011335889
BaseRepresentation
bin110011001010111010100010…
…100000100101011100010000
31002111211121110220122200112212
4303022322202200211130100
5213444211231220424033
62114350423104211252
765255233163140460
oct6312724240453420
91074747426580485
10225050422826768
11657873916a6a00
12212a8343309b28
139876218b7b136
143d806da181ba0
151b041281ad748
hexccaea2825710

225050422826768 has 240 divisors, whose sum is σ = 566826377456640. Its totient is φ = 84641863680000.

The previous prime is 225050422826767. The next prime is 225050422826899. The reversal of 225050422826768 is 867628224050522.

It is not an unprimeable number, because it can be changed into a prime (225050422826767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167796968 + ... + 169132856.

It is an arithmetic number, because the mean of its divisors is an integer number (2361776572736).

Almost surely, 2225050422826768 is an apocalyptic number.

225050422826768 is a gapful number since it is divisible by the number (28) 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 225050422826768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283413188728320).

225050422826768 is an abundant number, since it is smaller than the sum of its proper divisors (341775954629872).

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

225050422826768 is a wasteful number, since it uses less digits than its factorization.

225050422826768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336358 (or 1336341 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 59.

The spelling of 225050422826768 in words is "two hundred twenty-five trillion, fifty billion, four hundred twenty-two million, eight hundred twenty-six thousand, seven hundred sixty-eight".