233534016 has 140 divisors (see below), whose sum is σ = 729010480. Its totient is φ = 73716480.

The previous prime is 233533987. The next prime is 233534017. The reversal of 233534016 is 610435332.

It is a happy number.

233534016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (233534017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97311 + ... + 99681.

Almost surely, 2^233534016 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 233534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364505240).

233534016 is an abundant number, since it is smaller than the sum of its proper divisors (495476464).

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

233534016 is a wasteful number, since it uses less digits than its factorization.

233534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 233534016 is about 15281.8197869233. The cubic root of 233534016 is about 615.8146966104.

Adding to 233534016 its reverse (610435332), we get a palindrome (843969348).

The spelling of 233534016 in words is "two hundred thirty-three million, five hundred thirty-four thousand, sixteen".