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225368065 = 51317203953
BaseRepresentation
bin11010110111011…
…01100000000001
3120201001212212101
431123231200001
5430143234230
634210230401
75404411516
oct1533554001
9521055771
10225368065
1110623a3aa
1263585401
13378c9bb0
1421d0730d
1514bbaaca
hexd6ed801

225368065 has 16 divisors (see below), whose sum is σ = 308378448. Its totient is φ = 156635136.

The previous prime is 225368057. The next prime is 225368069. The reversal of 225368065 is 560863522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4875264 + 220492801 = 2208^2 + 14849^2 .

It is a cyclic number.

It is not a de Polignac number, because 225368065 - 23 = 225368057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225368069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100872 + ... + 103081.

It is an arithmetic number, because the mean of its divisors is an integer number (19273653).

Almost surely, 2225368065 is an apocalyptic number.

It is an amenable number.

225368065 is a deficient number, since it is larger than the sum of its proper divisors (83010383).

225368065 is a wasteful number, since it uses less digits than its factorization.

225368065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203988.

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 225368065 is about 15012.2638199573. The cubic root of 225368065 is about 608.5516700897.

The spelling of 225368065 in words is "two hundred twenty-five million, three hundred sixty-eight thousand, sixty-five".

Divisors: 1 5 13 17 65 85 221 1105 203953 1019765 2651389 3467201 13256945 17336005 45073613 225368065