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225961031 is a prime number
BaseRepresentation
bin11010111011111…
…10010001000111
3120202012000021002
431131332101013
5430321223111
634231043515
75412431342
oct1535762107
9522160232
10225961031
1110660495a
126381059b
1337a76a6a
142201d459
1514c8663b
hexd77e447

225961031 has 2 divisors, whose sum is σ = 225961032. Its totient is φ = 225961030.

The previous prime is 225961027. The next prime is 225961037. The reversal of 225961031 is 130169522.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 225961031 - 22 = 225961027 is a prime.

It is a super-2 number, since 2×2259610312 = 102116775061165922, which contains 22 as substring.

It is a Sophie Germain prime.

It is equal to p12432728 and since 225961031 and 12432728 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 225960985 and 225961003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225961037) 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, 112980515 + 112980516.

It is an arithmetic number, because the mean of its divisors is an integer number (112980516).

Almost surely, 2225961031 is an apocalyptic number.

225961031 is a deficient number, since it is larger than the sum of its proper divisors (1).

225961031 is an equidigital number, since it uses as much as digits as its factorization.

225961031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 225961031 is about 15032.0002328366. Note that the first 3 decimals coincide. The cubic root of 225961031 is about 609.0849228578.

The spelling of 225961031 in words is "two hundred twenty-five million, nine hundred sixty-one thousand, thirty-one".