233838332 has 192 divisors, whose sum is σ = 585252864. Its totient is φ = 79073280.

The previous prime is 233838323. The next prime is 233838337.

233838332 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 233838292 and 233838301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233838337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4412018 + ... + 4412070.

It is an arithmetic number, because the mean of its divisors is an integer number (3048192).

Almost surely, 2^233838332 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 233838332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626432).

233838332 is an abundant number, since it is smaller than the sum of its proper divisors (351414532).

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

233838332 is a wasteful number, since it uses less digits than its factorization.

233838332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its digits is 62208, while the sum is 35.

The square root of 233838332 is about 15291.7733438604. The cubic root of 233838332 is about 616.0820679718.

The spelling of 233838332 in words is "two hundred thirty-three million, eight hundred thirty-eight thousand, three hundred thirty-two".