22032000 has 320 divisors, whose sum is σ = 86640840. Its totient is φ = 5529600.

The previous prime is 22031993. The next prime is 22032007. The reversal of 22032000 is 23022.

It is an interprime number because it is at equal distance from previous prime (22031993) and next prime (22032007).

It can be written as a sum of positive squares in 4 ways, for example, as 9585216 + 12446784 = 3096^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22032007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1295992 + ... + 1296008.

Almost surely, 2^22032000 is an apocalyptic number.

22032000 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 22032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43320420).

22032000 is an abundant number, since it is smaller than the sum of its proper divisors (64608840).

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

22032000 is an equidigital number, since it uses as much as digits as its factorization.

22032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 22032000 is about 4693.8257317459. The cubic root of 22032000 is about 280.3397237013.

Adding to 22032000 its reverse (23022), we get a palindrome (22055022).

The spelling of 22032000 in words is "twenty-two million, thirty-two thousand".