164185224 has 64 divisors (see below), whose sum is σ = 489507840. Its totient is φ = 44869440.

The previous prime is 164185199. The next prime is 164185261. The reversal of 164185224 is 422581461.

It is a happy number.

164185224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17382 + ... + 25109.

It is an arithmetic number, because the mean of its divisors is an integer number (7648560).

Almost surely, 2^164185224 is an apocalyptic number.

164185224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164185224 is an abundant number, since it is smaller than the sum of its proper divisors (325322616).

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

164185224 is a wasteful number, since it uses less digits than its factorization.

164185224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42530 (or 42526 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 164185224 is about 12813.4782163158. The cubic root of 164185224 is about 547.5763593170.

The spelling of 164185224 in words is "one hundred sixty-four million, one hundred eighty-five thousand, two hundred twenty-four".