Search a number
-
+
224431303757593 is a prime number
BaseRepresentation
bin110011000001111001111100…
…001000110000111100011001
31002102122102102102220021201111
4303001321330020300330121
5213404040302230220333
62113154152334020321
765162424632653132
oct6301717410607431
91072572372807644
10224431303757593
1165568866071799
12212083596476a1
13982ca201c3b5a
143d5c766a0ac89
151ae2e8ead64cd
hexcc1e7c230f19

224431303757593 has 2 divisors, whose sum is σ = 224431303757594. Its totient is φ = 224431303757592.

The previous prime is 224431303757567. The next prime is 224431303757597. The reversal of 224431303757593 is 395757303134422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198003509962384 + 26427793795209 = 14071372^2 + 5140797^2 .

It is a cyclic number.

It is not a de Polignac number, because 224431303757593 - 217 = 224431303626521 is a prime.

It is not a weakly prime, because it can be changed into another prime (224431303757597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112215651878796 + 112215651878797.

It is an arithmetic number, because the mean of its divisors is an integer number (112215651878797).

Almost surely, 2224431303757593 is an apocalyptic number.

It is an amenable number.

224431303757593 is a deficient number, since it is larger than the sum of its proper divisors (1).

224431303757593 is an equidigital number, since it uses as much as digits as its factorization.

224431303757593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57153600, while the sum is 58.

The spelling of 224431303757593 in words is "two hundred twenty-four trillion, four hundred thirty-one billion, three hundred three million, seven hundred fifty-seven thousand, five hundred ninety-three".