224220 has 48 divisors (see below), whose sum is σ = 651168. Its totient is φ = 57600.

The previous prime is 224209. The next prime is 224221. The reversal of 224220 is 22422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 224196 and 224205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224221) by changing a digit.

224220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170 + ... + 2270.

It is an arithmetic number, because the mean of its divisors is an integer number (13566).

2²²⁴²²⁰ is an apocalyptic number.

224220 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 224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325584).

224220 is an abundant number, since it is smaller than the sum of its proper divisors (426948).

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

224220 is a wasteful number, since it uses less digits than its factorization.

224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 224220 is about 473.5187430292. The cubic root of 224220 is about 60.7516553597.

Adding to 224220 its reverse (22422), we get a palindrome (246642).

It can be divided in two parts, 224 and 220, that added together give a palindrome (444).

The spelling of 224220 in words is "two hundred twenty-four thousand, two hundred twenty", and thus it is an iban number.