233738144 has 96 divisors (see below), whose sum is σ = 509483520. Its totient is φ = 105183232.

The previous prime is 233738129. The next prime is 233738161. The reversal of 233738144 is 441837332.

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, 1003052 + ... + 1003284.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^233738144 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 233738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

233738144 is an abundant number, since it is smaller than the sum of its proper divisors (275745376).

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

233738144 is a wasteful number, since it uses less digits than its factorization.

233738144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 233738144 is about 15288.4971138435. The cubic root of 233738144 is about 615.9940686447.

The spelling of 233738144 in words is "two hundred thirty-three million, seven hundred thirty-eight thousand, one hundred forty-four".