Search a number
-
+
226125163373 is a prime number
BaseRepresentation
bin1101001010011000011…
…1000010101101101101
3210121200001101111021212
43102212013002231231
512201101020211443
6251514103004205
722223410114034
oct3224607025555
9717601344255
10226125163373
118799883a10a
12379a8a39665
13184289a6a25
14ad31a7771b
155d36ced618
hex34a61c2b6d

226125163373 has 2 divisors, whose sum is σ = 226125163374. Its totient is φ = 226125163372.

The previous prime is 226125163301. The next prime is 226125163421. The reversal of 226125163373 is 373361521622.

226125163373 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., 176633597284 + 49491566089 = 420278^2 + 222467^2 .

It is a cyclic number.

It is not a de Polignac number, because 226125163373 - 230 = 225051421549 is a prime.

It is a super-2 number, since 2×2261251633732 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226125163373.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226125163973) 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, 113062581686 + 113062581687.

It is an arithmetic number, because the mean of its divisors is an integer number (113062581687).

Almost surely, 2226125163373 is an apocalyptic number.

It is an amenable number.

226125163373 is a deficient number, since it is larger than the sum of its proper divisors (1).

226125163373 is an equidigital number, since it uses as much as digits as its factorization.

226125163373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 41.

Adding to 226125163373 its reverse (373361521622), we get a palindrome (599486684995).

The spelling of 226125163373 in words is "two hundred twenty-six billion, one hundred twenty-five million, one hundred sixty-three thousand, three hundred seventy-three".