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225724274117 is a prime number
BaseRepresentation
bin1101001000111000110…
…1110001010111000101
3210120122010001012121122
43102032031301113011
512144240403232432
6251410222323325
722210441446506
oct3221615612705
9716563035548
10225724274117
1187802517081
12378b6729545
1318393913754
14acd4720bad
155d11a11612
hex348e3715c5

225724274117 has 2 divisors, whose sum is σ = 225724274118. Its totient is φ = 225724274116.

The previous prime is 225724274071. The next prime is 225724274123. The reversal of 225724274117 is 711472427522.

225724274117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187012137601 + 38712136516 = 432449^2 + 196754^2 .

It is a cyclic number.

It is not a de Polignac number, because 225724274117 - 216 = 225724208581 is a prime.

It is a super-2 number, since 2×2257242741172 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225724279117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112862137058 + 112862137059.

It is an arithmetic number, because the mean of its divisors is an integer number (112862137059).

Almost surely, 2225724274117 is an apocalyptic number.

It is an amenable number.

225724274117 is a deficient number, since it is larger than the sum of its proper divisors (1).

225724274117 is an equidigital number, since it uses as much as digits as its factorization.

225724274117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 439040, while the sum is 44.

The spelling of 225724274117 in words is "two hundred twenty-five billion, seven hundred twenty-four million, two hundred seventy-four thousand, one hundred seventeen".