22225055200 has 72 divisors (see below), whose sum is σ = 54431984880. Its totient is φ = 8861337600.

The previous prime is 22225055191. The next prime is 22225055233. The reversal of 22225055200 is 255052222.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204136 + ... + 293464.

It is an arithmetic number, because the mean of its divisors is an integer number (755999790).

Almost surely, 2^22225055200 is an apocalyptic number.

22225055200 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 22225055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27215992440).

22225055200 is an abundant number, since it is smaller than the sum of its proper divisors (32206929680).

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

22225055200 is a wasteful number, since it uses less digits than its factorization.

22225055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89660 (or 89647 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The spelling of 22225055200 in words is "twenty-two billion, two hundred twenty-five million, fifty-five thousand, two hundred".