2005022200 has 48 divisors (see below), whose sum is σ = 4664880000. Its totient is φ = 801457920.

The previous prime is 2005022197. The next prime is 2005022233. The reversal of 2005022200 is 22205002.

It is a super-2 number, since 2×2005022200² = 8040228044985680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 415401 + ... + 420199.

It is an arithmetic number, because the mean of its divisors is an integer number (97185000).

Almost surely, 2^2005022200 is an apocalyptic number.

2005022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005022200 is an abundant number, since it is smaller than the sum of its proper divisors (2659857800).

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

2005022200 is a wasteful number, since it uses less digits than its factorization.

2005022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2005022200 is about 44777.4742476616. The cubic root of 2005022200 is about 1260.9747643085.

Adding to 2005022200 its reverse (22205002), we get a palindrome (2027227202).

The spelling of 2005022200 in words is "two billion, five million, twenty-two thousand, two hundred".