233022000 has 160 divisors (see below), whose sum is σ = 763236864. Its totient is φ = 61152000.

The previous prime is 233021959. The next prime is 233022019. The reversal of 233022000 is 220332.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 425727 + ... + 426273.

Almost surely, 2^233022000 is an apocalyptic number.

233022000 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 233022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381618432).

233022000 is an abundant number, since it is smaller than the sum of its proper divisors (530214864).

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

233022000 is a wasteful number, since it uses less digits than its factorization.

233022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 233022000 is about 15265.0581394242. The cubic root of 233022000 is about 615.3643158368.

Adding to 233022000 its reverse (220332), we get a palindrome (233242332).

The spelling of 233022000 in words is "two hundred thirty-three million, twenty-two thousand".