22808208200 has 108 divisors (see below), whose sum is σ = 54242790795. Its totient is φ = 8919100800.

The previous prime is 22808208121. The next prime is 22808208217. The reversal of 22808208200 is 280280822.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 30758116 + 22777450084 = 5546^2 + 150922^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106790.

It is a super-2 number, since 2×22808208200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126012110 + ... + 126012290.

Almost surely, 2^22808208200 is an apocalyptic number.

22808208200 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 22808208200

22808208200 is an abundant number, since it is smaller than the sum of its proper divisors (31434582595).

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

22808208200 is an equidigital number, since it uses as much as digits as its factorization.

22808208200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

Multiplying 22808208200 by its sum of digits (32), we get a square (729862662400 = 854320²).

Multiplying 22808208200 by its product of nonzero digits (8192), we get a square (186844841574400 = 13669120²).

The spelling of 22808208200 in words is "twenty-two billion, eight hundred eight million, two hundred eight thousand, two hundred".