Search a number
-
+
227506226033641 is a prime number
BaseRepresentation
bin110011101110101001101011…
…110010010111001111101001
31002211112101100001122112101111
4303232221223302113033221
5214304430222331034031
62123510530053550321
765630532240031012
oct6356515362271751
91084471301575344
10227506226033641
1166543937580375
12216242929453a1
1399c398bb85879
144027508148009
151b47e5bb3d1b1
hexceea6bc973e9

227506226033641 has 2 divisors, whose sum is σ = 227506226033642. Its totient is φ = 227506226033640.

The previous prime is 227506226033563. The next prime is 227506226033683. The reversal of 227506226033641 is 146330622605722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184426693783641 + 43079532250000 = 13580379^2 + 6563500^2 .

It is a cyclic number.

It is not a de Polignac number, because 227506226033641 - 29 = 227506226033129 is a prime.

It is not a weakly prime, because it can be changed into another prime (227506226733641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113753113016820 + 113753113016821.

It is an arithmetic number, because the mean of its divisors is an integer number (113753113016821).

Almost surely, 2227506226033641 is an apocalyptic number.

It is an amenable number.

227506226033641 is a deficient number, since it is larger than the sum of its proper divisors (1).

227506226033641 is an equidigital number, since it uses as much as digits as its factorization.

227506226033641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 49.

The spelling of 227506226033641 in words is "two hundred twenty-seven trillion, five hundred six billion, two hundred twenty-six million, thirty-three thousand, six hundred forty-one".