22220629200 has 720 divisors, whose sum is σ = 101223283200. Its totient is φ = 4373222400.

The previous prime is 22220629183. The next prime is 22220629201. The reversal of 22220629200 is 292602222.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220629201) 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 143 ways as a sum of consecutive naturals, for example, 5264691 + ... + 5268909.

Almost surely, 2^22220629200 is an apocalyptic number.

22220629200 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 22220629200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50611641600).

22220629200 is an abundant number, since it is smaller than the sum of its proper divisors (79002654000).

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

22220629200 is a wasteful number, since it uses less digits than its factorization.

22220629200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 22220629200 in words is "twenty-two billion, two hundred twenty million, six hundred twenty-nine thousand, two hundred".