225916164 has 18 divisors (see below), whose sum is σ = 571065950. Its totient is φ = 75305376.

The previous prime is 225916129. The next prime is 225916217. The reversal of 225916164 is 461619522.

225916164 is a `hidden beast` number, since 2 + 2 + 591 + 6 + 1 + 64 = 666.

225916164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 195776064 + 30140100 = 13992^2 + 5490^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×225916164² = 102076226312949792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6275449 = 225916164 / (2 + 2 + 5 + 9 + 1 + 6 + 1 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3137689 + ... + 3137760.

Almost surely, 2^225916164 is an apocalyptic number.

It is an amenable number.

225916164 is an abundant number, since it is smaller than the sum of its proper divisors (345149786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225916164 is a wasteful number, since it uses less digits than its factorization.

225916164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6275459 (or 6275454 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 225916164 is about 15030.5077758537. The cubic root of 225916164 is about 609.0446067289.

The spelling of 225916164 in words is "two hundred twenty-five million, nine hundred sixteen thousand, one hundred sixty-four".