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225156434689 is a prime number
BaseRepresentation
bin1101000110110001011…
…1101000101100000001
3210112011112112222100201
43101230113220230001
512142110021402224
6251234015445201
722160405055124
oct3215427505401
9715145488321
10225156434689
1187540a3499a
1237778526801
13183030983a4
14ac7d14a3bb
155ccbc47a44
hex346c5e8b01

225156434689 has 2 divisors, whose sum is σ = 225156434690. Its totient is φ = 225156434688.

The previous prime is 225156434653. The next prime is 225156434717. The reversal of 225156434689 is 986434651522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224690220225 + 466214464 = 474015^2 + 21592^2 .

It is a cyclic number.

It is not a de Polignac number, because 225156434689 - 213 = 225156426497 is a prime.

It is not a weakly prime, because it can be changed into another prime (225156434609) 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, 112578217344 + 112578217345.

It is an arithmetic number, because the mean of its divisors is an integer number (112578217345).

Almost surely, 2225156434689 is an apocalyptic number.

It is an amenable number.

225156434689 is a deficient number, since it is larger than the sum of its proper divisors (1).

225156434689 is an equidigital number, since it uses as much as digits as its factorization.

225156434689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12441600, while the sum is 55.

The spelling of 225156434689 in words is "two hundred twenty-five billion, one hundred fifty-six million, four hundred thirty-four thousand, six hundred eighty-nine".