233135712 has 96 divisors (see below), whose sum is σ = 688383360. Its totient is φ = 76752000.

The previous prime is 233135699. The next prime is 233135753. The reversal of 233135712 is 217531332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70087 + ... + 73337.

It is an arithmetic number, because the mean of its divisors is an integer number (7170660).

Almost surely, 2^233135712 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 233135712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344191680).

233135712 is an abundant number, since it is smaller than the sum of its proper divisors (455247648).

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

233135712 is a wasteful number, since it uses less digits than its factorization.

233135712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3339 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 233135712 is about 15268.7822697162. The cubic root of 233135712 is about 615.4643964128.

The spelling of 233135712 in words is "two hundred thirty-three million, one hundred thirty-five thousand, seven hundred twelve".