220032224 has 48 divisors (see below), whose sum is σ = 460113696. Its totient is φ = 103219200.

The previous prime is 220032209. The next prime is 220032259. The reversal of 220032224 is 422230022.

220032224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342944 + ... + 343584.

It is an arithmetic number, because the mean of its divisors is an integer number (9585702).

Almost surely, 2^220032224 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 220032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230056848).

220032224 is an abundant number, since it is smaller than the sum of its proper divisors (240081472).

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

220032224 is a wasteful number, since it uses less digits than its factorization.

220032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 220032224 is about 14833.4832052354. The cubic root of 220032224 is about 603.7105465119.

Adding to 220032224 its reverse (422230022), we get a palindrome (642262246).

The spelling of 220032224 in words is "two hundred twenty million, thirty-two thousand, two hundred twenty-four".