224303220 has 72 divisors (see below), whose sum is σ = 682869096. Its totient is φ = 59596032.

The previous prime is 224303201. The next prime is 224303237. The reversal of 224303220 is 22303422.

It can be written as a sum of positive squares in 4 ways, for example, as 29030544 + 195272676 = 5388^2 + 13974^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 224303193 and 224303202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50614 + ... + 54866.

It is an arithmetic number, because the mean of its divisors is an integer number (9484293).

Almost surely, 2^224303220 is an apocalyptic number.

224303220 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 224303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341434548).

224303220 is an abundant number, since it is smaller than the sum of its proper divisors (458565876).

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

224303220 is a wasteful number, since it uses less digits than its factorization.

224303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 224303220 is about 14976.7559905341. The cubic root of 224303220 is about 607.5917048981.

Adding to 224303220 its reverse (22303422), we get a palindrome (246606642).

The spelling of 224303220 in words is "two hundred twenty-four million, three hundred three thousand, two hundred twenty".