221341320 has 96 divisors (see below), whose sum is σ = 723242520. Its totient is φ = 58705920.

The previous prime is 221341319. The next prime is 221341361. The reversal of 221341320 is 23143122.

221341320 is a `hidden beast` number, since 2 + 2 + 1 + 341 + 320 = 666.

221341320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 166255236 + 55086084 = 12894^2 + 7422^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221341293 and 221341302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69360 + ... + 72480.

Almost surely, 2^221341320 is an apocalyptic number.

221341320 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 221341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361621260).

221341320 is an abundant number, since it is smaller than the sum of its proper divisors (501901200).

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

221341320 is a wasteful number, since it uses less digits than its factorization.

221341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221341320 is about 14877.5441521778. The cubic root of 221341320 is about 604.9054516093.

Adding to 221341320 its reverse (23143122), we get a palindrome (244484442).

The spelling of 221341320 in words is "two hundred twenty-one million, three hundred forty-one thousand, three hundred twenty".