22224300 has 144 divisors (see below), whose sum is σ = 77495040. Its totient is φ = 4803840.

The previous prime is 22224283. The next prime is 22224311. The reversal of 22224300 is 342222.

22224300 = T₁₅₂₀ + T₁₅₂₁ + ... + T₁₅₃₈.

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 22224300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39622 + ... + 40178.

It is an arithmetic number, because the mean of its divisors is an integer number (538160).

Almost surely, 2^22224300 is an apocalyptic number.

22224300 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 22224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38747520).

22224300 is an abundant number, since it is smaller than the sum of its proper divisors (55270740).

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

22224300 is a wasteful number, since it uses less digits than its factorization.

22224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 593 counting only the distinct ones).

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

The square root of 22224300 is about 4714.2655843726. The cubic root of 22224300 is about 281.1529838224.

Adding to 22224300 its reverse (342222), we get a palindrome (22566522).

The spelling of 22224300 in words is "twenty-two million, two hundred twenty-four thousand, three hundred".