224320 has 28 divisors (see below), whose sum is σ = 534924. Its totient is φ = 89600.

The previous prime is 224317. The next prime is 224327. The reversal of 224320 is 23422.

It can be written as a sum of positive squares in 2 ways, for example, as 141376 + 82944 = 376^2 + 288^2 .

It is a nialpdrome in base 8 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 224320.

It is not an unprimeable number, because it can be changed into a prime (224327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 670.

2²²⁴³²⁰ is an apocalyptic number.

224320 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 224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267462).

224320 is an abundant number, since it is smaller than the sum of its proper divisors (310604).

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

224320 is an equidigital number, since it uses as much as digits as its factorization.

224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 224320 is about 473.6243236997. The cubic root of 224320 is about 60.7606855720.

Adding to 224320 its reverse (23422), we get a palindrome (247742).

The spelling of 224320 in words is "two hundred twenty-four thousand, three hundred twenty", and thus it is an iban number.