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225651437617 is a prime number
BaseRepresentation
bin1101001000100111011…
…1111011000000110001
3210120110000222201201111
43102021313323000301
512144113232000432
6251355101233321
722205565400264
oct3221167730061
9716400881644
10225651437617
1187775398a21
1237896262841
13183817c0b28
14acc8ba0cdb
155d0a425347
hex3489dfb031

225651437617 has 2 divisors, whose sum is σ = 225651437618. Its totient is φ = 225651437616.

The previous prime is 225651437597. The next prime is 225651437621. The reversal of 225651437617 is 716734156522.

225651437617 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., 153249543841 + 72401893776 = 391471^2 + 269076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225651437617 is a prime.

It is not a weakly prime, because it can be changed into another prime (225651437647) 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, 112825718808 + 112825718809.

It is an arithmetic number, because the mean of its divisors is an integer number (112825718809).

Almost surely, 2225651437617 is an apocalyptic number.

It is an amenable number.

225651437617 is a deficient number, since it is larger than the sum of its proper divisors (1).

225651437617 is an equidigital number, since it uses as much as digits as its factorization.

225651437617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2116800, while the sum is 49.

The spelling of 225651437617 in words is "two hundred twenty-five billion, six hundred fifty-one million, four hundred thirty-seven thousand, six hundred seventeen".