220224330 has 48 divisors (see below), whose sum is σ = 575536104. Its totient is φ = 58423680.

The previous prime is 220224293. The next prime is 220224331. The reversal of 220224330 is 33422022.

220224330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 214593201 + 5631129 = 14649^2 + 2373^2 .

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

It is not an unprimeable number, because it can be changed into a prime (220224331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11520 + ... + 23940.

Almost surely, 2^220224330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220224330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287768052).

220224330 is an abundant number, since it is smaller than the sum of its proper divisors (355311774).

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

220224330 is a wasteful number, since it uses less digits than its factorization.

220224330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12631 (or 12628 counting only the distinct ones).

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

The square root of 220224330 is about 14839.9572101809. The cubic root of 220224330 is about 603.8861915155.

Adding to 220224330 its reverse (33422022), we get a palindrome (253646352).

The spelling of 220224330 in words is "two hundred twenty million, two hundred twenty-four thousand, three hundred thirty".