Search a number
-
+
225348593 is a prime number
BaseRepresentation
bin11010110111010…
…00101111110001
3120201000220011012
431123220233301
5430142123333
634210000305
75404300661
oct1533505761
9521026135
10225348593
11106226808
1263576095
13378c1082
1421d001a1
1514bb4e48
hexd6e8bf1

225348593 has 2 divisors, whose sum is σ = 225348594. Its totient is φ = 225348592.

The previous prime is 225348581. The next prime is 225348619. The reversal of 225348593 is 395843522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190219264 + 35129329 = 13792^2 + 5927^2 .

It is a cyclic number.

It is not a de Polignac number, because 225348593 - 24 = 225348577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225348593.

It is not a weakly prime, because it can be changed into another prime (225348523) 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, 112674296 + 112674297.

It is an arithmetic number, because the mean of its divisors is an integer number (112674297).

Almost surely, 2225348593 is an apocalyptic number.

It is an amenable number.

225348593 is a deficient number, since it is larger than the sum of its proper divisors (1).

225348593 is an equidigital number, since it uses as much as digits as its factorization.

225348593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 259200, while the sum is 41.

The square root of 225348593 is about 15011.6152695171. The cubic root of 225348593 is about 608.5341431176.

The spelling of 225348593 in words is "two hundred twenty-five million, three hundred forty-eight thousand, five hundred ninety-three".