224244320 has 72 divisors (see below), whose sum is σ = 539176176. Its totient is φ = 88132608.

The previous prime is 224244313. The next prime is 224244323. The reversal of 224244320 is 23442422.

224244320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224244323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 852509 + ... + 852771.

It is an arithmetic number, because the mean of its divisors is an integer number (7488558).

Almost surely, 2^224244320 is an apocalyptic number.

224244320 is a gapful number since it is divisible by the number (20) 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 224244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269588088).

224244320 is an abundant number, since it is smaller than the sum of its proper divisors (314931856).

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

224244320 is an equidigital number, since it uses as much as digits as its factorization.

224244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 224244320 is about 14974.7894809910. The cubic root of 224244320 is about 607.5385175440.

Adding to 224244320 its reverse (23442422), we get a palindrome (247686742).

The spelling of 224244320 in words is "two hundred twenty-four million, two hundred forty-four thousand, three hundred twenty".