22243200 has 192 divisors, whose sum is σ = 83982720. Its totient is φ = 5068800.

The previous prime is 22243187. The next prime is 22243201. The reversal of 22243200 is 234222.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×22243200³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22243200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22243201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 67035 + ... + 67365.

It is an arithmetic number, because the mean of its divisors is an integer number (437410).

Almost surely, 2^22243200 is an apocalyptic number.

22243200 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 22243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41991360).

22243200 is an abundant number, since it is smaller than the sum of its proper divisors (61739520).

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

22243200 is a wasteful number, since it uses less digits than its factorization.

22243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 22243200 is about 4716.2697123892. The cubic root of 22243200 is about 281.2326606594.

Adding to 22243200 its reverse (234222), we get a palindrome (22477422).

The spelling of 22243200 in words is "twenty-two million, two hundred forty-three thousand, two hundred".