224707164 has 144 divisors (see below), whose sum is σ = 609544320. Its totient is φ = 64310400.

The previous prime is 224707159. The next prime is 224707187. The reversal of 224707164 is 461707422.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3683694 + ... + 3683754.

Almost surely, 2^224707164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224707164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304772160).

224707164 is an abundant number, since it is smaller than the sum of its proper divisors (384837156).

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

224707164 is a wasteful number, since it uses less digits than its factorization.

224707164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 224707164 is about 14990.2356218973. The cubic root of 224707164 is about 607.9562201567.

The spelling of 224707164 in words is "two hundred twenty-four million, seven hundred seven thousand, one hundred sixty-four".