221443320 has 256 divisors, whose sum is σ = 796262400. Its totient is φ = 48222720.

The previous prime is 221443297. The next prime is 221443331. The reversal of 221443320 is 23344122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2803041 + ... + 2803119.

It is an arithmetic number, because the mean of its divisors is an integer number (3110400).

Almost surely, 2^221443320 is an apocalyptic number.

221443320 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 221443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398131200).

221443320 is an abundant number, since it is smaller than the sum of its proper divisors (574819080).

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

221443320 is a wasteful number, since it uses less digits than its factorization.

221443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 221443320 is about 14880.9717424636. The cubic root of 221443320 is about 604.9983562098.

Adding to 221443320 its reverse (23344122), we get a palindrome (244787442).

The spelling of 221443320 in words is "two hundred twenty-one million, four hundred forty-three thousand, three hundred twenty".