233430144 has 128 divisors (see below), whose sum is σ = 646990080. Its totient is φ = 74511360.

The previous prime is 233430107. The next prime is 233430157. The reversal of 233430144 is 441034332.

233430144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1106199 + ... + 1106409.

It is an arithmetic number, because the mean of its divisors is an integer number (5054610).

Almost surely, 2^233430144 is an apocalyptic number.

233430144 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 233430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323495040).

233430144 is an abundant number, since it is smaller than the sum of its proper divisors (413559936).

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

233430144 is a wasteful number, since it uses less digits than its factorization.

233430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 233430144 is about 15278.4208608089. The cubic root of 233430144 is about 615.7233817329.

Adding to 233430144 its reverse (441034332), we get a palindrome (674464476).

The spelling of 233430144 in words is "two hundred thirty-three million, four hundred thirty thousand, one hundred forty-four".