Search a number
-
+
225491197815937 is a prime number
BaseRepresentation
bin110011010001010101000010…
…101111101110110010000001
31002120101202012021120010022201
4303101111002233232302001
5214023421433120102222
62115325120510033201
765332126042550104
oct6321250257566201
91076352167503281
10225491197815937
1165937309695159
1221359855aa8801
1398a8961ca57b1
143d97b9180a73b
151b10824625427
hexcd1542beec81

225491197815937 has 2 divisors, whose sum is σ = 225491197815938. Its totient is φ = 225491197815936.

The previous prime is 225491197815887. The next prime is 225491197815979. The reversal of 225491197815937 is 739518791194522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211364958252816 + 14126239563121 = 14538396^2 + 3758489^2 .

It is a cyclic number.

It is not a de Polignac number, because 225491197815937 - 239 = 224941442002049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225491197815937.

It is not a weakly prime, because it can be changed into another prime (225491197815137) 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, 112745598907968 + 112745598907969.

It is an arithmetic number, because the mean of its divisors is an integer number (112745598907969).

Almost surely, 2225491197815937 is an apocalyptic number.

It is an amenable number.

225491197815937 is a deficient number, since it is larger than the sum of its proper divisors (1).

225491197815937 is an equidigital number, since it uses as much as digits as its factorization.

225491197815937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 342921600, while the sum is 73.

The spelling of 225491197815937 in words is "two hundred twenty-five trillion, four hundred ninety-one billion, one hundred ninety-seven million, eight hundred fifteen thousand, nine hundred thirty-seven".