233042144 has 48 divisors (see below), whose sum is σ = 499640400. Its totient is φ = 106573824.

The previous prime is 233042129. The next prime is 233042149. The reversal of 233042144 is 441240332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233042149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11024 + ... + 24240.

It is an arithmetic number, because the mean of its divisors is an integer number (10409175).

Almost surely, 2^233042144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249820200).

233042144 is an abundant number, since it is smaller than the sum of its proper divisors (266598256).

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

233042144 is a wasteful number, since it uses less digits than its factorization.

233042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13267 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 233042144 is about 15265.7179326752. The cubic root of 233042144 is about 615.3820474124.

Adding to 233042144 its reverse (441240332), we get a palindrome (674282476).

The spelling of 233042144 in words is "two hundred thirty-three million, forty-two thousand, one hundred forty-four".