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225133131217 is a prime number
BaseRepresentation
bin1101000110101011111…
…0101111010111010001
3210112002220201001000011
43101222332233113101
512142033040144332
6251231424154521
722160003020021
oct3215276572721
9715086631004
10225133131217
1187529868725
1237770768a41
13182cb2c9457
14ac7a001a81
155cc9b92e47
hex346afaf5d1

225133131217 has 2 divisors, whose sum is σ = 225133131218. Its totient is φ = 225133131216.

The previous prime is 225133131169. The next prime is 225133131227. The reversal of 225133131217 is 712131331522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192313823296 + 32819307921 = 438536^2 + 181161^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225133131217 is a prime.

It is not a weakly prime, because it can be changed into another prime (225133131227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112566565608 + 112566565609.

It is an arithmetic number, because the mean of its divisors is an integer number (112566565609).

Almost surely, 2225133131217 is an apocalyptic number.

It is an amenable number.

225133131217 is a deficient number, since it is larger than the sum of its proper divisors (1).

225133131217 is an equidigital number, since it uses as much as digits as its factorization.

225133131217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

Adding to 225133131217 its reverse (712131331522), we get a palindrome (937264462739).

The spelling of 225133131217 in words is "two hundred twenty-five billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred seventeen".