233232222144 has 112 divisors (see below), whose sum is σ = 632379837600. Its totient is φ = 75819663360.

The previous prime is 233232222137. The next prime is 233232222161. The reversal of 233232222144 is 441222232332.

233232222144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36593742 + ... + 36600114.

It is an arithmetic number, because the mean of its divisors is an integer number (5646248550).

Almost surely, 2^233232222144 is an apocalyptic number.

233232222144 is a gapful number since it is divisible by the number (24) 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 233232222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316189918800).

233232222144 is an abundant number, since it is smaller than the sum of its proper divisors (399147615456).

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

233232222144 is a wasteful number, since it uses less digits than its factorization.

233232222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11078 (or 11068 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 233232222144 its reverse (441222232332), we get a palindrome (674454454476).

The spelling of 233232222144 in words is "two hundred thirty-three billion, two hundred thirty-two million, two hundred twenty-two thousand, one hundred forty-four".