233054240 has 48 divisors (see below), whose sum is σ = 554843520. Its totient is φ = 92501760.

The previous prime is 233054219. The next prime is 233054257. The reversal of 233054240 is 42450332.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15401 + ... + 26519.

It is an arithmetic number, because the mean of its divisors is an integer number (11559240).

Almost surely, 2^233054240 is an apocalyptic number.

233054240 is a gapful number since it is divisible by the number (20) 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 233054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277421760).

233054240 is an abundant number, since it is smaller than the sum of its proper divisors (321789280).

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

233054240 is a wasteful number, since it uses less digits than its factorization.

233054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11265 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 233054240 is about 15266.1141093600. The cubic root of 233054240 is about 615.3926943170.

The spelling of 233054240 in words is "two hundred thirty-three million, fifty-four thousand, two hundred forty".