221222320 has 160 divisors (see below), whose sum is σ = 601032960. Its totient is φ = 74880000.

The previous prime is 221222311. The next prime is 221222327. The reversal of 221222320 is 23222122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221222294 and 221222303.

It is not an unprimeable number, because it can be changed into a prime (221222327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1688655 + ... + 1688785.

It is an arithmetic number, because the mean of its divisors is an integer number (3756456).

Almost surely, 2^221222320 is an apocalyptic number.

221222320 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 221222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

221222320 is an abundant number, since it is smaller than the sum of its proper divisors (379810640).

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

221222320 is a wasteful number, since it uses less digits than its factorization.

221222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 221222320 is about 14873.5442985188. The cubic root of 221222320 is about 604.7970268277.

Adding to 221222320 its reverse (23222122), we get a palindrome (244444442).

It can be divided in two parts, 22122 and 2320, that added together give a palindrome (24442).

The spelling of 221222320 in words is "two hundred twenty-one million, two hundred twenty-two thousand, three hundred twenty".