220305344 has 112 divisors (see below), whose sum is σ = 534497280. Its totient is φ = 88058880.

The previous prime is 220305331. The next prime is 220305347. The reversal of 220305344 is 443503022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220305347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402479 + ... + 403025.

Almost surely, 2^220305344 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 220305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267248640).

220305344 is an abundant number, since it is smaller than the sum of its proper divisors (314191936).

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

220305344 is a wasteful number, since it uses less digits than its factorization.

220305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 220305344 is about 14842.6865492740. The cubic root of 220305344 is about 603.9602330440.

Adding to 220305344 its reverse (443503022), we get a palindrome (663808366).

The spelling of 220305344 in words is "two hundred twenty million, three hundred five thousand, three hundred forty-four".