225315181 has 24 divisors (see below), whose sum is σ = 292020120. Its totient is φ = 172109952.

The previous prime is 225315173. The next prime is 225315191. The reversal of 225315181 is 181513522.

It can be written as a sum of positive squares in 4 ways, for example, as 21996100 + 203319081 = 4690^2 + 14259^2 .

It is not a de Polignac number, because 225315181 - 2³ = 225315173 is a prime.

It is a super-2 number, since 2×225315181² = 101533861578125522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225315191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12375 + ... + 24571.

It is an arithmetic number, because the mean of its divisors is an integer number (12167505).

Almost surely, 2^225315181 is an apocalyptic number.

It is an amenable number.

225315181 is a deficient number, since it is larger than the sum of its proper divisors (66704939).

225315181 is a wasteful number, since it uses less digits than its factorization.

225315181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253 (or 12246 counting only the distinct ones).

The product of its digits is 2400, while the sum is 28.

The square root of 225315181 is about 15010.5023566835. The cubic root of 225315181 is about 608.5040662376.

The spelling of 225315181 in words is "two hundred twenty-five million, three hundred fifteen thousand, one hundred eighty-one".