220224 has 56 divisors (see below), whose sum is σ = 617728. Its totient is φ = 69120.

The previous prime is 220217. The next prime is 220243. The reversal of 220224 is 422022.

It is a happy number.

It is a super-2 number, since 2×220224² = 96997220352, which contains 22 as substring.

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 an unprimeable number.

220224 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 7 ways as a sum of consecutive naturals, for example, 5934 + ... + 5970.

2²²⁰²²⁴ is an apocalyptic number.

220224 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 220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308864).

220224 is an abundant number, since it is smaller than the sum of its proper divisors (397504).

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

220224 is a wasteful number, since it uses less digits than its factorization.

220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

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

The square root of 220224 is about 469.2803000340. The cubic root of 220224 is about 60.3885889880.

Adding to 220224 its reverse (422022), we get a palindrome (642246).

It can be divided in two parts, 22022 and 4, that multiplied together give a palindrome (88088).

The spelling of 220224 in words is "two hundred twenty thousand, two hundred twenty-four", and thus it is an iban number.