233082000 has 240 divisors, whose sum is σ = 850981248. Its totient is φ = 59347200.

The previous prime is 233081999. The next prime is 233082029. The reversal of 233082000 is 280332.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413719 + ... + 414281.

Almost surely, 2^233082000 is an apocalyptic number.

233082000 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 233082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425490624).

233082000 is an abundant number, since it is smaller than the sum of its proper divisors (617899248).

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

233082000 is a wasteful number, since it uses less digits than its factorization.

233082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 233082000 is about 15267.0232855000. The cubic root of 233082000 is about 615.4171272887.

The spelling of 233082000 in words is "two hundred thirty-three million, eighty-two thousand".