233415216 has 80 divisors (see below), whose sum is σ = 676271200. Its totient is φ = 77075712.

The previous prime is 233415199. The next prime is 233415311. The reversal of 233415216 is 612514332.

233415216 is a `hidden beast` number, since 2 + 33 + 415 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 233415216.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44610 + ... + 49566.

It is an arithmetic number, because the mean of its divisors is an integer number (8453390).

Almost surely, 2^233415216 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 233415216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338135600).

233415216 is an abundant number, since it is smaller than the sum of its proper divisors (442855984).

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

233415216 is a wasteful number, since it uses less digits than its factorization.

233415216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083 (or 5071 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 233415216 is about 15277.9323208345. The cubic root of 233415216 is about 615.7102561579.

Adding to 233415216 its reverse (612514332), we get a palindrome (845929548).

The spelling of 233415216 in words is "two hundred thirty-three million, four hundred fifteen thousand, two hundred sixteen".