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226113105457 is a prime number
BaseRepresentation
bin1101001010010101100…
…1000010111000110001
3210121122012200212221101
43102211121002320301
512201034423333312
6251512552324401
722223202453541
oct3224531027061
9717565625841
10226113105457
1187991a53898
12379a49a3701
1318426344575
14ad30219321
155d35c1aa57
hex34a5642e31

226113105457 has 2 divisors, whose sum is σ = 226113105458. Its totient is φ = 226113105456.

The previous prime is 226113105403. The next prime is 226113105479. The reversal of 226113105457 is 754501311622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214590371121 + 11522734336 = 463239^2 + 107344^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226113105457 is a prime.

It is a super-2 number, since 2×2261131054572 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (226113108457) 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, 113056552728 + 113056552729.

It is an arithmetic number, because the mean of its divisors is an integer number (113056552729).

Almost surely, 2226113105457 is an apocalyptic number.

It is an amenable number.

226113105457 is a deficient number, since it is larger than the sum of its proper divisors (1).

226113105457 is an equidigital number, since it uses as much as digits as its factorization.

226113105457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 226113105457 in words is "two hundred twenty-six billion, one hundred thirteen million, one hundred five thousand, four hundred fifty-seven".