233385000 has 80 divisors (see below), whose sum is σ = 729141600. Its totient is φ = 62232000.

The previous prime is 233384971. The next prime is 233385013. The reversal of 233385000 is 583332.

It is a super-3 number, since 3×233385000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 19 ways as a sum of consecutive naturals, for example, 7221 + ... + 22779.

It is an arithmetic number, because the mean of its divisors is an integer number (9114270).

Almost surely, 2^233385000 is an apocalyptic number.

233385000 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 233385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364570800).

233385000 is an abundant number, since it is smaller than the sum of its proper divisors (495756600).

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

233385000 is a wasteful number, since it uses less digits than its factorization.

233385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588 (or 15569 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 233385000 is about 15276.9434115598. The cubic root of 233385000 is about 615.6836867619.

The spelling of 233385000 in words is "two hundred thirty-three million, three hundred eighty-five thousand".