233117280 has 144 divisors (see below), whose sum is σ = 867891024. Its totient is φ = 56509440.

The previous prime is 233117239. The next prime is 233117281. The reversal of 233117280 is 82711332.

233117280 is digitally balanced in base 3, 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 (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233117281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8482 + ... + 23198.

It is an arithmetic number, because the mean of its divisors is an integer number (6027021).

Almost surely, 2^233117280 is an apocalyptic number.

233117280 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 233117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433945512).

233117280 is an abundant number, since it is smaller than the sum of its proper divisors (634773744).

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

233117280 is a wasteful number, since it uses less digits than its factorization.

233117280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14749 (or 14738 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 233117280 is about 15268.1786733061. The cubic root of 233117280 is about 615.4481761912.

The spelling of 233117280 in words is "two hundred thirty-three million, one hundred seventeen thousand, two hundred eighty".