233268288 has 224 divisors, whose sum is σ = 730788480. Its totient is φ = 64880640.

The previous prime is 233268281. The next prime is 233268289. The reversal of 233268288 is 882862332.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (233268281) 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 31 ways as a sum of consecutive naturals, for example, 2620948 + ... + 2621036.

Almost surely, 2^233268288 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 233268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365394240).

233268288 is an abundant number, since it is smaller than the sum of its proper divisors (497520192).

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

233268288 is a wasteful number, since it uses less digits than its factorization.

233268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 233268288 is about 15273.1230598067. The cubic root of 233268288 is about 615.5810385539.

The spelling of 233268288 in words is "two hundred thirty-three million, two hundred sixty-eight thousand, two hundred eighty-eight".