233906112 has 336 divisors, whose sum is σ = 808329600. Its totient is φ = 63866880.

The previous prime is 233906069. The next prime is 233906117. The reversal of 233906112 is 211609332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233906117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3491103 + ... + 3491169.

Almost surely, 2^233906112 is an apocalyptic number.

233906112 is a gapful number since it is divisible by the number (22) 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 233906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404164800).

233906112 is an abundant number, since it is smaller than the sum of its proper divisors (574423488).

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

233906112 is a wasteful number, since it uses less digits than its factorization.

233906112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 233906112 is about 15293.9894076072. The cubic root of 233906112 is about 616.1415877380.

The spelling of 233906112 in words is "two hundred thirty-three million, nine hundred six thousand, one hundred twelve".