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225183689201 is a prime number
BaseRepresentation
bin1101000110110111111…
…1100110100111110001
3210112020102211122112002
43101231333212213301
512142134011023301
6251240431543345
722161155530262
oct3215577464761
9715212748462
10225183689201
118755535a689
123778568ab55
131830891b813
14ac82a02969
155cce32d16b
hex346dfe69f1

225183689201 has 2 divisors, whose sum is σ = 225183689202. Its totient is φ = 225183689200.

The previous prime is 225183689153. The next prime is 225183689233. The reversal of 225183689201 is 102986381522.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180966010801 + 44217678400 = 425401^2 + 210280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225183689201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (225183689281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112591844600 + 112591844601.

It is an arithmetic number, because the mean of its divisors is an integer number (112591844601).

Almost surely, 2225183689201 is an apocalyptic number.

It is an amenable number.

225183689201 is a deficient number, since it is larger than the sum of its proper divisors (1).

225183689201 is an equidigital number, since it uses as much as digits as its factorization.

225183689201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 225183689201 in words is "two hundred twenty-five billion, one hundred eighty-three million, six hundred eighty-nine thousand, two hundred one".