220705344 has 112 divisors (see below), whose sum is σ = 652475200. Its totient is φ = 73156608.

The previous prime is 220705321. The next prime is 220705403. The reversal of 220705344 is 443507022.

220705344 is digitally balanced in base 3, 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582147 + ... + 582525.

Almost surely, 2^220705344 is an apocalyptic number.

220705344 is a gapful number since it is divisible by the number (24) 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 220705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326237600).

220705344 is an abundant number, since it is smaller than the sum of its proper divisors (431769856).

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

220705344 is a wasteful number, since it uses less digits than its factorization.

220705344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 220705344 is about 14856.1550880435. The cubic root of 220705344 is about 604.3255412181.

The spelling of 220705344 in words is "two hundred twenty million, seven hundred five thousand, three hundred forty-four".