Search a number
-
+
225738563 = 17191275503
BaseRepresentation
bin11010111010001…
…11111101000011
3120201202201002112
431131013331003
5430242113223
634222205535
75410513631
oct1535077503
9521681075
10225738563
111064727a6
12637238ab
13379c971b
1421da2351
1514c40778
hexd747f43

225738563 has 16 divisors (see below), whose sum is σ = 253624320. Its totient is φ = 199656576.

The previous prime is 225738547. The next prime is 225738571. The reversal of 225738563 is 365837522.

It is a cyclic number.

It is not a de Polignac number, because 225738563 - 24 = 225738547 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225738563.

It is not an unprimeable number, because it can be changed into a prime (225738763) 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 in 15 ways as a sum of consecutive naturals, for example, 38270 + ... + 43772.

It is an arithmetic number, because the mean of its divisors is an integer number (15851520).

Almost surely, 2225738563 is an apocalyptic number.

225738563 is a deficient number, since it is larger than the sum of its proper divisors (27885757).

225738563 is a wasteful number, since it uses less digits than its factorization.

225738563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666.

The product of its digits is 302400, while the sum is 41.

The square root of 225738563 is about 15024.5985969676. The cubic root of 225738563 is about 608.8849674386.

The spelling of 225738563 in words is "two hundred twenty-five million, seven hundred thirty-eight thousand, five hundred sixty-three".

Divisors: 1 17 19 127 323 2159 2413 5503 41021 93551 104557 698881 1777469 11880977 13278739 225738563