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225337793 is a prime number
BaseRepresentation
bin11010110111001…
…10000111000001
3120201000100100012
431123212013001
5430141302133
634205434305
75404224332
oct1533460701
9521010305
10225337793
1110621968a
126356b995
13378b9195
1421cda289
1514bb1b48
hexd6e61c1

225337793 has 2 divisors, whose sum is σ = 225337794. Its totient is φ = 225337792.

The previous prime is 225337757. The next prime is 225337799. The reversal of 225337793 is 397733522.

It is a happy number.

225337793 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213832129 + 11505664 = 14623^2 + 3392^2 .

It is a cyclic number.

It is not a de Polignac number, because 225337793 - 28 = 225337537 is a prime.

It is a super-2 number, since 2×2253377932 = 101554241908221698, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225337793.

It is not a weakly prime, because it can be changed into another prime (225337799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112668896 + 112668897.

It is an arithmetic number, because the mean of its divisors is an integer number (112668897).

Almost surely, 2225337793 is an apocalyptic number.

It is an amenable number.

225337793 is a deficient number, since it is larger than the sum of its proper divisors (1).

225337793 is an equidigital number, since it uses as much as digits as its factorization.

225337793 is an evil number, because the sum of its binary digits is even.

The product of its digits is 238140, while the sum is 41.

The square root of 225337793 is about 15011.2555437578. The cubic root of 225337793 is about 608.5244214775.

The spelling of 225337793 in words is "two hundred twenty-five million, three hundred thirty-seven thousand, seven hundred ninety-three".