220314380 has 144 divisors (see below), whose sum is σ = 563068800. Its totient is φ = 71892480.

The previous prime is 220314379. The next prime is 220314389. The reversal of 220314380 is 83413022.

It is not an unprimeable number, because it can be changed into a prime (220314389) 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 47 ways as a sum of consecutive naturals, for example, 1478546 + ... + 1478694.

It is an arithmetic number, because the mean of its divisors is an integer number (3910200).

Almost surely, 2^220314380 is an apocalyptic number.

220314380 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 220314380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281534400).

220314380 is an abundant number, since it is smaller than the sum of its proper divisors (342754420).

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

220314380 is a wasteful number, since it uses less digits than its factorization.

220314380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 220314380 is about 14842.9909384868. The cubic root of 220314380 is about 603.9684902352.

The spelling of 220314380 in words is "two hundred twenty million, three hundred fourteen thousand, three hundred eighty".