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522438834225 = 3527211101199643
BaseRepresentation
bin1111001101000111100…
…01111111100000110001
31211221111122211121002210
413212203301333200301
532024423320143400
61040001033202333
752513343551200
oct7464361774061
91757448747083
10522438834225
111916241137a0
12853038603a9
133a35bb8a389
141b401397237
15d8caa46950
hex79a3c7f831

522438834225 has 288 divisors, whose sum is σ = 1114278681600. Its totient is φ = 213554880000.

The previous prime is 522438834221. The next prime is 522438834277.

522438834225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 522438834225 - 22 = 522438834221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (522438834221) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 812501754 + ... + 812502396.

It is an arithmetic number, because the mean of its divisors is an integer number (3869023200).

Almost surely, 2522438834225 is an apocalyptic number.

522438834225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

522438834225 is an abundant number, since it is smaller than the sum of its proper divisors (591839847375).

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

522438834225 is a wasteful number, since it uses less digits than its factorization.

522438834225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 969 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 522438834225 in words is "five hundred twenty-two billion, four hundred thirty-eight million, eight hundred thirty-four thousand, two hundred twenty-five".