221338880 has 108 divisors (see below), whose sum is σ = 616909860. Its totient is φ = 75866112.

The previous prime is 221338829. The next prime is 221338883. The reversal of 221338880 is 88833122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46676224 + 174662656 = 6832^2 + 13216^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 221338880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221338883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60956 + ... + 64484.

Almost surely, 2^221338880 is an apocalyptic number.

221338880 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 221338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308454930).

221338880 is an abundant number, since it is smaller than the sum of its proper divisors (395570980).

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

221338880 is an equidigital number, since it uses as much as digits as its factorization.

221338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 221338880 is about 14877.4621491705. The cubic root of 221338880 is about 604.9032288360.

It can be divided in two parts, 22133 and 8880, that added together give a palindrome (31013).

The spelling of 221338880 in words is "two hundred twenty-one million, three hundred thirty-eight thousand, eight hundred eighty".