220233320 has 32 divisors (see below), whose sum is σ = 498695400. Its totient is φ = 87529728.

The previous prime is 220233311. The next prime is 220233329. The reversal of 220233320 is 23332022.

It is an interprime number because it is at equal distance from previous prime (220233311) and next prime (220233329).

It can be written as a sum of positive squares in 4 ways, for example, as 208686916 + 11546404 = 14446^2 + 3398^2 .

It is not an unprimeable number, because it can be changed into a prime (220233329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11255 + ... + 23814.

Almost surely, 2^220233320 is an apocalyptic number.

220233320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220233320 is an abundant number, since it is smaller than the sum of its proper divisors (278462080).

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

220233320 is a wasteful number, since it uses less digits than its factorization.

220233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35237 (or 35233 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 220233320 is about 14840.2601055372. The cubic root of 220233320 is about 603.8944086866.

Adding to 220233320 its reverse (23332022), we get a palindrome (243565342).

The spelling of 220233320 in words is "two hundred twenty million, two hundred thirty-three thousand, three hundred twenty".