233223322332 has 384 divisors, whose sum is σ = 764640995328. Its totient is φ = 53374464000.

The previous prime is 233223322313. The next prime is 233223322379.

233223322332 is nontrivially palindromic in base 10.

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

233223322332 is a modest number, since divided by 23322332 gives 2332 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 233223322332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23550582 + ... + 23560482.

It is an arithmetic number, because the mean of its divisors is an integer number (1991252592).

Almost surely, 2^233223322332 is an apocalyptic number.

233223322332 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 233223322332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382320497664).

233223322332 is an abundant number, since it is smaller than the sum of its proper divisors (531417672996).

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

233223322332 is a wasteful number, since it uses less digits than its factorization.

233223322332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029 (or 10027 counting only the distinct ones).

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

It can be divided in two parts, 233223 and 322332, that added together give a palindrome (555555).

The spelling of 233223322332 in words is "two hundred thirty-three billion, two hundred twenty-three million, three hundred twenty-two thousand, three hundred thirty-two".