233034144 has 96 divisors (see below), whose sum is σ = 701479296. Its totient is φ = 66355200.

The previous prime is 233034133. The next prime is 233034149. The reversal of 233034144 is 441430332.

233034144 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 (96).

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

It is not an unprimeable number, because it can be changed into a prime (233034149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387444 + ... + 388044.

It is an arithmetic number, because the mean of its divisors is an integer number (7307076).

Almost surely, 2^233034144 is an apocalyptic number.

233034144 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 233034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350739648).

233034144 is an abundant number, since it is smaller than the sum of its proper divisors (468445152).

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

233034144 is a wasteful number, since it uses less digits than its factorization.

233034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1190 counting only the distinct ones).

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

The square root of 233034144 is about 15265.4559054094. The cubic root of 233034144 is about 615.3750056063.

Adding to 233034144 its reverse (441430332), we get a palindrome (674464476).

The spelling of 233034144 in words is "two hundred thirty-three million, thirty-four thousand, one hundred forty-four".