22228819200 has 1728 divisors, whose sum is σ = 105113272320. Its totient is φ = 4476764160.

The previous prime is 22228819187. The next prime is 22228819201. The reversal of 22228819200 is 291882222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22228819201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472953577 + ... + 472953623.

It is an arithmetic number, because the mean of its divisors is an integer number (60829440).

Almost surely, 2^22228819200 is an apocalyptic number.

22228819200 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 22228819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52556636160).

22228819200 is an abundant number, since it is smaller than the sum of its proper divisors (82884453120).

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

22228819200 is a wasteful number, since it uses less digits than its factorization.

22228819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 22228819200 in words is "twenty-two billion, two hundred twenty-eight million, eight hundred nineteen thousand, two hundred".