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225442561 is a prime number
BaseRepresentation
bin11010110111111…
…11101100000001
3120201012200001111
431123333230001
5430203130221
634212003321
75405141641
oct1533775401
9521180044
10225442561
11106290373
1263600541
1337924a86
1421d26521
1514bd2be1
hexd6ffb01

225442561 has 2 divisors, whose sum is σ = 225442562. Its totient is φ = 225442560.

The previous prime is 225442501. The next prime is 225442579. The reversal of 225442561 is 165244522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223801600 + 1640961 = 14960^2 + 1281^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225442561 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (225442501) 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, 112721280 + 112721281.

It is an arithmetic number, because the mean of its divisors is an integer number (112721281).

Almost surely, 2225442561 is an apocalyptic number.

It is an amenable number.

225442561 is a deficient number, since it is larger than the sum of its proper divisors (1).

225442561 is an equidigital number, since it uses as much as digits as its factorization.

225442561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19200, while the sum is 31.

The square root of 225442561 is about 15014.7447863758. The cubic root of 225442561 is about 608.6187154820.

The spelling of 225442561 in words is "two hundred twenty-five million, four hundred forty-two thousand, five hundred sixty-one".