233105730 has 128 divisors (see below), whose sum is σ = 667892736. Its totient is φ = 51321600.

The previous prime is 233105707. The next prime is 233105753. The reversal of 233105730 is 37501332.

233105730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233105707) and next prime (233105753).

It is a self number, because there is not a number n which added to its sum of digits gives 233105730.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287025 + ... + 287835.

It is an arithmetic number, because the mean of its divisors is an integer number (5217912).

Almost surely, 2^233105730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233105730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333946368).

233105730 is an abundant number, since it is smaller than the sum of its proper divisors (434787006).

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

233105730 is a wasteful number, since it uses less digits than its factorization.

233105730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 233105730 is about 15267.8004309724. The cubic root of 233105730 is about 615.4380117169.

The spelling of 233105730 in words is "two hundred thirty-three million, one hundred five thousand, seven hundred thirty".