233865216 has 192 divisors, whose sum is σ = 739496940. Its totient is φ = 70778880.

The previous prime is 233865169. The next prime is 233865217. The reversal of 233865216 is 612568332.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 180633600 + 53231616 = 13440^2 + 7296^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (233865217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3833826 + ... + 3833886.

Almost surely, 2^233865216 is an apocalyptic number.

233865216 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 233865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369748470).

233865216 is an abundant number, since it is smaller than the sum of its proper divisors (505631724).

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

233865216 is an equidigital number, since it uses as much as digits as its factorization.

233865216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 233865216 is about 15292.6523533362. The cubic root of 233865216 is about 616.1056770403.

The spelling of 233865216 in words is "two hundred thirty-three million, eight hundred sixty-five thousand, two hundred sixteen".