233221112322 has 96 divisors (see below), whose sum is σ = 534107105280. Its totient is φ = 67298713920.

The previous prime is 233221112291. The next prime is 233221112323. The reversal of 233221112322 is 223211122332.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 233221112292 and 233221112301.

It is not an unprimeable number, because it can be changed into a prime (233221112323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4219179 + ... + 4274097.

It is an arithmetic number, because the mean of its divisors is an integer number (5563615680).

Almost surely, 2^233221112322 is an apocalyptic number.

233221112322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 233221112322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267053552640).

233221112322 is an abundant number, since it is smaller than the sum of its proper divisors (300885992958).

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

233221112322 is a wasteful number, since it uses less digits than its factorization.

233221112322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55056 (or 55019 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 233221112322 its reverse (223211122332), we get a palindrome (456432234654).

It can be divided in two parts, 233221 and 112322, that added together give a palindrome (345543).

The spelling of 233221112322 in words is "two hundred thirty-three billion, two hundred twenty-one million, one hundred twelve thousand, three hundred twenty-two".