220303120 has 40 divisors (see below), whose sum is σ = 513014040. Its totient is φ = 87982080.

The previous prime is 220303103. The next prime is 220303129. The reversal of 220303120 is 21303022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 171191056 = 7008^2 + 13084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 220303120.

It is not an unprimeable number, because it can be changed into a prime (220303129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59730 + ... + 63310.

It is an arithmetic number, because the mean of its divisors is an integer number (12825351).

Almost surely, 2^220303120 is an apocalyptic number.

220303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220303120 is an abundant number, since it is smaller than the sum of its proper divisors (292710920).

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

220303120 is a wasteful number, since it uses less digits than its factorization.

220303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 220303120 is about 14842.6116300333. The cubic root of 220303120 is about 603.9582006949.

Adding to 220303120 its reverse (21303022), we get a palindrome (241606142).

The spelling of 220303120 in words is "two hundred twenty million, three hundred three thousand, one hundred twenty".