233322223332 has 192 divisors, whose sum is σ = 634590028800. Its totient is φ = 66042385920.

The previous prime is 233322223313. The next prime is 233322223333.

233322223332 is nontrivially palindromic in base 10.

233322223332 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×233322223332³ (a number of 35 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 233322223332.

It is not an unprimeable number, because it can be changed into a prime (233322223333) 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 63 ways as a sum of consecutive naturals, for example, 25348243 + ... + 25357445.

It is an arithmetic number, because the mean of its divisors is an integer number (3305156400).

Almost surely, 2^233322223332 is an apocalyptic number.

233322223332 is a gapful number since it is divisible by the number (22) 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 233322223332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317295014400).

233322223332 is an abundant number, since it is smaller than the sum of its proper divisors (401267805468).

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

233322223332 is a wasteful number, since it uses less digits than its factorization.

233322223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9464 counting only the distinct ones).

The product of its digits is 46656, while the sum is 30.

It can be divided in two parts, 233322 and 223332, that added together give a palindrome (456654).

The spelling of 233322223332 in words is "two hundred thirty-three billion, three hundred twenty-two million, two hundred twenty-three thousand, three hundred thirty-two".