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225005744213 is a prime number
BaseRepresentation
bin1101000110001101100…
…0110011000001010101
3210111210001000002212222
43101203120303001111
512141302432303323
6251211033552125
722153565161235
oct3214330630125
9714701002788
10225005744213
1187473970a08
1237735b75645
13182aaab7123
14ac67121cc5
155cbd8cd9c8
hex3463633055

225005744213 has 2 divisors, whose sum is σ = 225005744214. Its totient is φ = 225005744212.

The previous prime is 225005744111. The next prime is 225005744269. The reversal of 225005744213 is 312447500522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139798966609 + 85206777604 = 373897^2 + 291902^2 .

It is a cyclic number.

It is not a de Polignac number, because 225005744213 - 218 = 225005482069 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225005744273) 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, 112502872106 + 112502872107.

It is an arithmetic number, because the mean of its divisors is an integer number (112502872107).

Almost surely, 2225005744213 is an apocalyptic number.

It is an amenable number.

225005744213 is a deficient number, since it is larger than the sum of its proper divisors (1).

225005744213 is an equidigital number, since it uses as much as digits as its factorization.

225005744213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 225005744213 in words is "two hundred twenty-five billion, five million, seven hundred forty-four thousand, two hundred thirteen".