220221440 has 52 divisors (see below), whose sum is σ = 528516084. Its totient is φ = 88080384.

The previous prime is 220221431. The next prime is 220221467. The reversal of 220221440 is 44122022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 154157056 + 66064384 = 12416^2 + 8128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15104 + ... + 25856.

Almost surely, 2^220221440 is an apocalyptic number.

220221440 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 220221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264258042).

220221440 is an abundant number, since it is smaller than the sum of its proper divisors (308294644).

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

220221440 is an equidigital number, since it uses as much as digits as its factorization.

220221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 220221440 is about 14839.8598376130. The cubic root of 220221440 is about 603.8835499080.

Adding to 220221440 its reverse (44122022), we get a palindrome (264343462).

The spelling of 220221440 in words is "two hundred twenty million, two hundred twenty-one thousand, four hundred forty".