223221320 has 64 divisors (see below), whose sum is σ = 575527680. Its totient is φ = 76329216.

The previous prime is 223221307. The next prime is 223221353. The reversal of 223221320 is 23122322.

It is a super-3 number, since 3×223221320³ (a number of 26 digits) contains 333 as substring.

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, 135542 + ... + 137178.

It is an arithmetic number, because the mean of its divisors is an integer number (8992620).

Almost surely, 2^223221320 is an apocalyptic number.

223221320 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 223221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287763840).

223221320 is an abundant number, since it is smaller than the sum of its proper divisors (352306360).

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

223221320 is a wasteful number, since it uses less digits than its factorization.

223221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 223221320 is about 14940.5930270522. The cubic root of 223221320 is about 606.6132478559.

Adding to 223221320 its reverse (23122322), we get a palindrome (246343642).

The spelling of 223221320 in words is "two hundred twenty-three million, two hundred twenty-one thousand, three hundred twenty".