22320000 has 240 divisors, whose sum is σ = 82848480. Its totient is φ = 5760000.

The previous prime is 22319993. The next prime is 22320007. The reversal of 22320000 is 2322.

It is an interprime number because it is at equal distance from previous prime (22319993) and next prime (22320007).

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

It is a super-3 number, since 3×22320000³ (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719985 + ... + 720015.

It is an arithmetic number, because the mean of its divisors is an integer number (345202).

Almost surely, 2^22320000 is an apocalyptic number.

22320000 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 22320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41424240).

22320000 is an abundant number, since it is smaller than the sum of its proper divisors (60528480).

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

22320000 is an equidigital number, since it uses as much as digits as its factorization.

22320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

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

The square root of 22320000 is about 4724.4047244071. The cubic root of 22320000 is about 281.5559633274. Note that the first 3 decimals are identical.

Adding to 22320000 its reverse (2322), we get a palindrome (22322322).

The spelling of 22320000 in words is "twenty-two million, three hundred twenty thousand".