221321220 has 48 divisors (see below), whose sum is σ = 621952128. Its totient is φ = 58804480.

The previous prime is 221321209. The next prime is 221321251. The reversal of 221321220 is 22123122.

It is a happy number.

221321220 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221321220.

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, 10297 + ... + 23423.

It is an arithmetic number, because the mean of its divisors is an integer number (12957336).

Almost surely, 2^221321220 is an apocalyptic number.

221321220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221321220 is an abundant number, since it is smaller than the sum of its proper divisors (400630908).

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

221321220 is a wasteful number, since it uses less digits than its factorization.

221321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13420 (or 13418 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221321220 is about 14876.8686221261. The cubic root of 221321220 is about 604.8871405718.

Adding to 221321220 its reverse (22123122), we get a palindrome (243444342).

The spelling of 221321220 in words is "two hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty".