22404211200 has 1050 divisors, whose sum is σ = 97089127509. Its totient is φ = 5120962560.

The previous prime is 22404211169. The next prime is 22404211201. The reversal of 22404211200 is 211240422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22404211200 is a `hidden beast` number, since 2 + 2 + 40 + 421 + 1 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21956126976 + 448084224 = 148176^2 + 21168^2 .

It is a tau number, because it is divible by the number of its divisors (1050).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105840.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22404211201) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 3200601597 + ... + 3200601603.

Almost surely, 2^22404211200 is an apocalyptic number.

22404211200 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 22404211200

22404211200 is an abundant number, since it is smaller than the sum of its proper divisors (74684916309).

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

22404211200 is an frugal number, since it uses more digits than its factorization.

22404211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Multiplying 22404211200 by its sum of digits (18), we get a square (403275801600 = 635040²).

22404211200 divided by its sum of digits (18) gives a square (1244678400 = 35280²).

Adding to 22404211200 its reverse (211240422), we get a palindrome (22615451622).

The spelling of 22404211200 in words is "twenty-two billion, four hundred four million, two hundred eleven thousand, two hundred".