22225009800 has 384 divisors, whose sum is σ = 81766195200. Its totient is φ = 4886784000.

The previous prime is 22225009757. The next prime is 22225009801. The reversal of 22225009800 is 890052222.

It is a super-2 number, since 2×22225009800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22225009801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27471796 + ... + 27472604.

It is an arithmetic number, because the mean of its divisors is an integer number (212932800).

Almost surely, 2^22225009800 is an apocalyptic number.

22225009800 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 22225009800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40883097600).

22225009800 is an abundant number, since it is smaller than the sum of its proper divisors (59541185400).

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

22225009800 is a wasteful number, since it uses less digits than its factorization.

22225009800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 22225009800 in words is "twenty-two billion, two hundred twenty-five million, nine thousand, eight hundred".