224391168 has 104 divisors (see below), whose sum is σ = 665109200. Its totient is φ = 74760192.

The previous prime is 224391137. The next prime is 224391187. The reversal of 224391168 is 861193422.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 7 ways as a sum of consecutive naturals, for example, 109578 + ... + 111606.

Almost surely, 2^224391168 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 224391168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332554600).

224391168 is an abundant number, since it is smaller than the sum of its proper divisors (440718032).

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

224391168 is an equidigital number, since it uses as much as digits as its factorization.

224391168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2034 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 224391168 is about 14979.6918526384. The cubic root of 224391168 is about 607.6711055902.

The spelling of 224391168 in words is "two hundred twenty-four million, three hundred ninety-one thousand, one hundred sixty-eight".