224164320 has 48 divisors (see below), whose sum is σ = 706119120. Its totient is φ = 59777024.

The previous prime is 224164313. The next prime is 224164333. The reversal of 224164320 is 23461422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×224164320² = 100499284722124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233025 + ... + 233984.

It is an arithmetic number, because the mean of its divisors is an integer number (14710815).

Almost surely, 2^224164320 is an apocalyptic number.

224164320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224164320 is an abundant number, since it is smaller than the sum of its proper divisors (481954800).

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

224164320 is a wasteful number, since it uses less digits than its factorization.

224164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467027 (or 467019 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 224164320 is about 14972.1180866302. The cubic root of 224164320 is about 607.4662617379.

The spelling of 224164320 in words is "two hundred twenty-four million, one hundred sixty-four thousand, three hundred twenty".