220531344 has 160 divisors (see below), whose sum is σ = 668528640. Its totient is φ = 61900800.

The previous prime is 220531319. The next prime is 220531369. The reversal of 220531344 is 443135022.

It is an interprime number because it is at equal distance from previous prime (220531319) and next prime (220531369).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708949 + ... + 709259.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2^220531344 is an apocalyptic number.

220531344 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 220531344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334264320).

220531344 is an abundant number, since it is smaller than the sum of its proper divisors (447997296).

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

220531344 is a wasteful number, since it uses less digits than its factorization.

220531344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 220531344 is about 14850.2977747923. The cubic root of 220531344 is about 604.1666864484.

Adding to 220531344 its reverse (443135022), we get a palindrome (663666366).

The spelling of 220531344 in words is "two hundred twenty million, five hundred thirty-one thousand, three hundred forty-four".