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225727261541 is a prime number
BaseRepresentation
bin1101001000111001100…
…1001010101101100101
3210120122022122222120222
43102032121022231211
512144242134332131
6251410410334125
722210506031265
oct3221631125545
9716568588528
10225727261541
1187804177621
12378b772a345
131839441b462
14acd4c9b7a5
155d11e0187b
hex348e64ab65

225727261541 has 2 divisors, whose sum is σ = 225727261542. Its totient is φ = 225727261540.

The previous prime is 225727261447. The next prime is 225727261547. The reversal of 225727261541 is 145162727522.

225727261541 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., 199581988516 + 26145273025 = 446746^2 + 161695^2 .

It is a cyclic number.

It is not a de Polignac number, because 225727261541 - 214 = 225727245157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225727261492 and 225727261501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225727261547) 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, 112863630770 + 112863630771.

It is an arithmetic number, because the mean of its divisors is an integer number (112863630771).

Almost surely, 2225727261541 is an apocalyptic number.

It is an amenable number.

225727261541 is a deficient number, since it is larger than the sum of its proper divisors (1).

225727261541 is an equidigital number, since it uses as much as digits as its factorization.

225727261541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 470400, while the sum is 44.

The spelling of 225727261541 in words is "two hundred twenty-five billion, seven hundred twenty-seven million, two hundred sixty-one thousand, five hundred forty-one".