233163216 has 240 divisors, whose sum is σ = 782658240. Its totient is φ = 64247040.

The previous prime is 233163199. The next prime is 233163257. The reversal of 233163216 is 612361332.

It is a happy number.

233163216 is a `hidden beast` number, since 2 + 331 + 6 + 321 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 233163216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3480015 + ... + 3480081.

It is an arithmetic number, because the mean of its divisors is an integer number (3261076).

Almost surely, 2^233163216 is an apocalyptic number.

233163216 is a gapful number since it is divisible by the number (26) 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 233163216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391329120).

233163216 is an abundant number, since it is smaller than the sum of its proper divisors (549495024).

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

233163216 is a wasteful number, since it uses less digits than its factorization.

233163216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 233163216 is about 15269.6829043697. The cubic root of 233163216 is about 615.4885984351.

The spelling of 233163216 in words is "two hundred thirty-three million, one hundred sixty-three thousand, two hundred sixteen".