22414012200 has 240 divisors, whose sum is σ = 78183818460. Its totient is φ = 5951232000.

The previous prime is 22414012157. The next prime is 22414012211. The reversal of 22414012200 is 221041422.

22414012200 is a `hidden beast` number, since 2 + 2 + 41 + 401 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10985974596 + 11428037604 = 104814^2 + 106902^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3901330 + ... + 3907070.

Almost surely, 2^22414012200 is an apocalyptic number.

22414012200 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 22414012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39091909230).

22414012200 is an abundant number, since it is smaller than the sum of its proper divisors (55769806260).

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

22414012200 is a wasteful number, since it uses less digits than its factorization.

22414012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 5992 counting only the distinct ones).

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

Adding to 22414012200 its reverse (221041422), we get a palindrome (22635053622).

The spelling of 22414012200 in words is "twenty-two billion, four hundred fourteen million, twelve thousand, two hundred".