233266144 has 48 divisors (see below), whose sum is σ = 474102720. Its totient is φ = 112919040.

The previous prime is 233266141. The next prime is 233266181. The reversal of 233266144 is 441662332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233266141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133114 + ... + 134854.

It is an arithmetic number, because the mean of its divisors is an integer number (9877140).

Almost surely, 2^233266144 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 233266144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237051360).

233266144 is an abundant number, since it is smaller than the sum of its proper divisors (240836576).

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

233266144 is a wasteful number, since it uses less digits than its factorization.

233266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1875 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 233266144 is about 15273.0528709882. The cubic root of 233266144 is about 615.5791525856.

The spelling of 233266144 in words is "two hundred thirty-three million, two hundred sixty-six thousand, one hundred forty-four".