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225051332055368 = 237134767553117749
BaseRepresentation
bin110011001010111011011000…
…101101000001000101001000
31002111211200211021112021201012
4303022323120231001011020
5213444220112001232433
62114351053224143052
765255264543353640
oct6312733055010510
91074750737467635
10225051332055368
11657878089618a5
12212a8557907a88
139876332356220
143d80784c21520
151b0417ce0e848
hexccaed8b41148

225051332055368 has 256 divisors, whose sum is σ = 538443279360000. Its totient is φ = 85816106449920.

The previous prime is 225051332055367. The next prime is 225051332055421. The reversal of 225051332055368 is 863550233150522.

It is not an unprimeable number, because it can be changed into a prime (225051332055367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12679653758 + ... + 12679671506.

It is an arithmetic number, because the mean of its divisors is an integer number (2103294060000).

Almost surely, 2225051332055368 is an apocalyptic number.

225051332055368 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 225051332055368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269221639680000).

225051332055368 is an abundant number, since it is smaller than the sum of its proper divisors (313391947304632).

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

225051332055368 is a wasteful number, since it uses less digits than its factorization.

225051332055368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23420 (or 23416 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 50.

The spelling of 225051332055368 in words is "two hundred twenty-five trillion, fifty-one billion, three hundred thirty-two million, fifty-five thousand, three hundred sixty-eight".