224224 has 72 divisors (see below), whose sum is σ = 603288. Its totient is φ = 80640.

The previous prime is 224221. The next prime is 224233. The reversal of 224224 is 422422.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 224198 and 224207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224221) 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, 17242 + ... + 17254.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2²²⁴²²⁴ 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 224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301644).

224224 is an abundant number, since it is smaller than the sum of its proper divisors (379064).

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

224224 is a wasteful number, since it uses less digits than its factorization.

224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its digits is 256, while the sum is 16.

The square root of 224224 is about 473.5229667081. The cubic root of 224224 is about 60.7520166198.

Adding to 224224 its reverse (422422), we get a palindrome (646646).

The spelling of 224224 in words is "two hundred twenty-four thousand, two hundred twenty-four", and thus it is an iban number.