224164224 has 96 divisors (see below), whose sum is σ = 665970240. Its totient is φ = 72299520.

The previous prime is 224164217. The next prime is 224164243. The reversal of 224164224 is 422461422.

224164224 is a `hidden beast` number, since 22 + 416 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 32574 + ... + 38850.

It is an arithmetic number, because the mean of its divisors is an integer number (6937190).

Almost surely, 2^224164224 is an apocalyptic number.

224164224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332985120).

224164224 is an abundant number, since it is smaller than the sum of its proper divisors (441806016).

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

224164224 is a wasteful number, since it uses less digits than its factorization.

224164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6313 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 224164224 is about 14972.1148806707. The cubic root of 224164224 is about 607.4661750206.

The spelling of 224164224 in words is "two hundred twenty-four million, one hundred sixty-four thousand, two hundred twenty-four".