233000080 has 20 divisors (see below), whose sum is σ = 541725372. Its totient is φ = 93200000.

The previous prime is 233000077. The next prime is 233000081. The reversal of 233000080 is 80000332.

It is a happy number.

233000080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 178062336 + 54937744 = 13344^2 + 7412^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (233000081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1456171 + ... + 1456330.

Almost surely, 2^233000080 is an apocalyptic number.

233000080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233000080 is an abundant number, since it is smaller than the sum of its proper divisors (308725292).

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

233000080 is a wasteful number, since it uses less digits than its factorization.

233000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912514 (or 2912508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 233000080 is about 15264.3401429607. The cubic root of 233000080 is about 615.3450197921.

The spelling of 233000080 in words is "two hundred thirty-three million, eighty", and thus it is an aban number.