22226173200 has 1200 divisors, whose sum is σ = 101806341120. Its totient is φ = 4510080000.

The previous prime is 22226173183. The next prime is 22226173213. The reversal of 22226173200 is 237162222.

22226173200 is a `hidden beast` number, since 2 + 2 + 22 + 617 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 147193125 + ... + 147193275.

Almost surely, 2^22226173200 is an apocalyptic number.

22226173200 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 22226173200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50903170560).

22226173200 is an abundant number, since it is smaller than the sum of its proper divisors (79580167920).

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

22226173200 is a wasteful number, since it uses less digits than its factorization.

22226173200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 22226173200 in words is "twenty-two billion, two hundred twenty-six million, one hundred seventy-three thousand, two hundred".