244224 has 60 divisors (see below), whose sum is σ = 718146. Its totient is φ = 79872.

The previous prime is 244219. The next prime is 244243. The reversal of 244224 is 422442.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 57600 = 432^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 244197 and 244206.

It is an unprimeable number.

244224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 4582 + ... + 4634.

244224 is a Friedman number, since it can be written as 424*24^2, using all its digits and the basic arithmetic operations.

2²⁴⁴²²⁴ is an apocalyptic number.

244224 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 244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359073).

244224 is an abundant number, since it is smaller than the sum of its proper divisors (473922).

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

244224 is an equidigital number, since it uses as much as digits as its factorization.

244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 244224 is about 494.1902467674. The cubic root of 244224 is about 62.5071138569.

Adding to 244224 its reverse (422442), we get a palindrome (666666).

The spelling of 244224 in words is "two hundred forty-four thousand, two hundred twenty-four", and thus it is an iban number.