225220311 has 16 divisors (see below), whose sum is σ = 333949920. Its totient is φ = 150016320.

The previous prime is 225220297. The next prime is 225220337. The reversal of 225220311 is 113022522.

It is not a de Polignac number, because 225220311 - 2¹⁰ = 225219287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225220211) 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, 35781 + ... + 41601.

It is an arithmetic number, because the mean of its divisors is an integer number (20871870).

Almost surely, 2^225220311 is an apocalyptic number.

225220311 is a deficient number, since it is larger than the sum of its proper divisors (108729609).

225220311 is a wasteful number, since it uses less digits than its factorization.

225220311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7263 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225220311 is about 15007.3419032152. The cubic root of 225220311 is about 608.4186497635.

Adding to 225220311 its reverse (113022522), we get a palindrome (338242833).

The spelling of 225220311 in words is "two hundred twenty-five million, two hundred twenty thousand, three hundred eleven".