22733000 has 64 divisors (see below), whose sum is σ = 53913600. Its totient is φ = 8971200.

The previous prime is 22732999. The next prime is 22733023. The reversal of 22733000 is 33722.

It is a self number, because there is not a number n which added to its sum of digits gives 22733000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126911 + ... + 127089.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 2^22733000 is an apocalyptic number.

22733000 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 22733000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956800).

22733000 is an abundant number, since it is smaller than the sum of its proper divisors (31180600).

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

22733000 is a wasteful number, since it uses less digits than its factorization.

22733000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 22733000 is about 4767.9135898210. The cubic root of 22733000 is about 283.2819591590.

Adding to 22733000 its reverse (33722), we get a palindrome (22766722).

The spelling of 22733000 in words is "twenty-two million, seven hundred thirty-three thousand".