233130144 has 96 divisors (see below), whose sum is σ = 662135040. Its totient is φ = 71396352.

The previous prime is 233130143. The next prime is 233130167. The reversal of 233130144 is 441031332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 233130144.

It is not an unprimeable number, because it can be changed into a prime (233130143) 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, 457762 + ... + 458270.

It is an arithmetic number, because the mean of its divisors is an integer number (6897240).

Almost surely, 2^233130144 is an apocalyptic number.

233130144 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 233130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331067520).

233130144 is an abundant number, since it is smaller than the sum of its proper divisors (429004896).

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

233130144 is a wasteful number, since it uses less digits than its factorization.

233130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 233130144 is about 15268.5999358160. The cubic root of 233130144 is about 615.4594966443.

Adding to 233130144 its reverse (441031332), we get a palindrome (674161476).

The spelling of 233130144 in words is "two hundred thirty-three million, one hundred thirty thousand, one hundred forty-four".