22286464200 has 2304 divisors, whose sum is σ = 113992704000. Its totient is φ = 3919104000.

The previous prime is 22286464199. The next prime is 22286464223. The reversal of 22286464200 is 246468222.

22286464200 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 6 + 4 + 642 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 575 ways as a sum of consecutive naturals, for example, 718918185 + ... + 718918215.

It is an arithmetic number, because the mean of its divisors is an integer number (49476000).

Almost surely, 2^22286464200 is an apocalyptic number.

22286464200 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 22286464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352000).

22286464200 is an abundant number, since it is smaller than the sum of its proper divisors (91706239800).

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

22286464200 is a wasteful number, since it uses less digits than its factorization.

22286464200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 22286464200 in words is "twenty-two billion, two hundred eighty-six million, four hundred sixty-four thousand, two hundred".