233053000 has 64 divisors (see below), whose sum is σ = 577465200. Its totient is φ = 87731200.

The previous prime is 233052959. The next prime is 233053013. The reversal of 233053000 is 350332.

It can be written as a sum of positive squares in 8 ways, for example, as 59814756 + 173238244 = 7734^2 + 13162^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10146 + ... + 23854.

Almost surely, 2^233053000 is an apocalyptic number.

233053000 is a gapful number since it is divisible by the number (20) 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 233053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288732600).

233053000 is an abundant number, since it is smaller than the sum of its proper divisors (344412200).

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

233053000 is a wasteful number, since it uses less digits than its factorization.

233053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13747 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 233053000 is about 15266.0734964823. The cubic root of 233053000 is about 615.3916028854.

The spelling of 233053000 in words is "two hundred thirty-three million, fifty-three thousand".