22332000 has 96 divisors (see below), whose sum is σ = 73198944. Its totient is φ = 5952000.

The previous prime is 22331993. The next prime is 22332041. The reversal of 22332000 is 23322.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11070 + ... + 12930.

It is an arithmetic number, because the mean of its divisors is an integer number (762489).

Almost surely, 2^22332000 is an apocalyptic number.

22332000 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 22332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36599472).

22332000 is an abundant number, since it is smaller than the sum of its proper divisors (50866944).

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

22332000 is a wasteful number, since it uses less digits than its factorization.

22332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1871 counting only the distinct ones).

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

The square root of 22332000 is about 4725.6745550239. The cubic root of 22332000 is about 281.6064123454.

Adding to 22332000 its reverse (23322), we get a palindrome (22355322).

It can be divided in two parts, 223 and 32000, that added together give a palindrome (32223).

The spelling of 22332000 in words is "twenty-two million, three hundred thirty-two thousand".