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225547396875108 = 2232721126117323037
BaseRepresentation
bin110011010010001001011000…
…011110001000001101100100
31002120121010020220000010110200
4303102021120132020031210
5214030332032100000413
62115411013234550500
765336155516636500
oct6322113036101544
91076533226003420
10225547396875108
1165959128589100
122136871aa38430
1398b104a129269
143d9a7a3565300
151b12013323573
hexcd2258788364

225547396875108 has 324 divisors, whose sum is σ = 740941015982076. Its totient is φ = 57623346950400.

The previous prime is 225547396875091. The next prime is 225547396875139. The reversal of 225547396875108 is 801578693745522.

225547396875108 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 47 + 3 + 9 + 68 + 7 + 510 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91600059507264 + 133947337367844 = 9570792^2 + 11573562^2 .

It is a super-3 number, since 3×2255473968751083 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4358566 + ... + 21681602.

It is an arithmetic number, because the mean of its divisors is an integer number (2286854987599).

It is a 1-persistent number, because it is pandigital, but 2⋅225547396875108 = 451094793750216 is not.

Almost surely, 2225547396875108 is an apocalyptic number.

225547396875108 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 225547396875108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370470507991038).

225547396875108 is an abundant number, since it is smaller than the sum of its proper divisors (515393619106968).

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

225547396875108 is a wasteful number, since it uses less digits than its factorization.

225547396875108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17323144 (or 17323121 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 225547396875108 in words is "two hundred twenty-five trillion, five hundred forty-seven billion, three hundred ninety-six million, eight hundred seventy-five thousand, one hundred eight".