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225753601 is a prime number
BaseRepresentation
bin11010111010010…
…11101000000001
3120201210110201111
431131023220001
5430243103401
634222403321
75410605523
oct1535135001
9521713644
10225753601
11106483027
1263730541
1337a03518
1421da7a13
1514c44e51
hexd74ba01

225753601 has 2 divisors, whose sum is σ = 225753602. Its totient is φ = 225753600.

The previous prime is 225753589. The next prime is 225753623. The reversal of 225753601 is 106357522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139263601 + 86490000 = 11801^2 + 9300^2 .

It is a cyclic number.

It is not a de Polignac number, because 225753601 - 211 = 225751553 is a prime.

It is equal to p12421885 and since 225753601 and 12421885 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (225753631) 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 as a sum of consecutive naturals, namely, 112876800 + 112876801.

It is an arithmetic number, because the mean of its divisors is an integer number (112876801).

Almost surely, 2225753601 is an apocalyptic number.

It is an amenable number.

225753601 is a deficient number, since it is larger than the sum of its proper divisors (1).

225753601 is an equidigital number, since it uses as much as digits as its factorization.

225753601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 225753601 is about 15025.0990346154. The cubic root of 225753601 is about 608.8984878117.

The spelling of 225753601 in words is "two hundred twenty-five million, seven hundred fifty-three thousand, six hundred one".