221333223000 has 256 divisors, whose sum is σ = 746558092800. Its totient is φ = 54404006400.

The previous prime is 221333222989. The next prime is 221333223011. The reversal of 221333223000 is 322333122.

221333223000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221333222989) and next prime (221333223011).

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, 2056527 + ... + 2161473.

It is an arithmetic number, because the mean of its divisors is an integer number (2916242550).

Almost surely, 2^221333223000 is an apocalyptic number.

221333223000 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 221333223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373279046400).

221333223000 is an abundant number, since it is smaller than the sum of its proper divisors (525224869800).

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

221333223000 is a wasteful number, since it uses less digits than its factorization.

221333223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105027 (or 105013 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 221333223000 its reverse (322333122), we get a palindrome (221655556122).

The spelling of 221333223000 in words is "two hundred twenty-one billion, three hundred thirty-three million, two hundred twenty-three thousand".