223221323320 has 128 divisors (see below), whose sum is σ = 518056922880. Its totient is φ = 86510592000.

The previous prime is 223221323317. The next prime is 223221323327. The reversal of 223221323320 is 23323122322.

223221323320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223221323320³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223221323327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187108644 + ... + 187109836.

It is an arithmetic number, because the mean of its divisors is an integer number (4047319710).

Almost surely, 2^223221323320 is an apocalyptic number.

223221323320 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 223221323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259028461440).

223221323320 is an abundant number, since it is smaller than the sum of its proper divisors (294835599560).

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

223221323320 is a wasteful number, since it uses less digits than its factorization.

223221323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 223221323320 its reverse (23323122322), we get a palindrome (246544445642).

The spelling of 223221323320 in words is "two hundred twenty-three billion, two hundred twenty-one million, three hundred twenty-three thousand, three hundred twenty".