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225311257 is a prime number
BaseRepresentation
bin11010110110111…
…11101000011001
3120200221222221101
431123133220121
5430134430012
634205111401
75404054063
oct1533375031
9520858841
10225311257
11106200756
1263558561
13378aa092
1421cd0733
1514ba8d57
hexd6dfa19

225311257 has 2 divisors, whose sum is σ = 225311258. Its totient is φ = 225311256.

The previous prime is 225311213. The next prime is 225311263. The reversal of 225311257 is 752113522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146385801 + 78925456 = 12099^2 + 8884^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225311257 is a prime.

It is not a weakly prime, because it can be changed into another prime (225311287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112655628 + 112655629.

It is an arithmetic number, because the mean of its divisors is an integer number (112655629).

Almost surely, 2225311257 is an apocalyptic number.

It is an amenable number.

225311257 is a deficient number, since it is larger than the sum of its proper divisors (1).

225311257 is an equidigital number, since it uses as much as digits as its factorization.

225311257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 28.

The square root of 225311257 is about 15010.3716476308. The cubic root of 225311257 is about 608.5005337284.

Adding to 225311257 its reverse (752113522), we get a palindrome (977424779).

The spelling of 225311257 in words is "two hundred twenty-five million, three hundred eleven thousand, two hundred fifty-seven".