2013022200 has 192 divisors, whose sum is σ = 7362385920. Its totient is φ = 445248000.

The previous prime is 2013022199. The next prime is 2013022237. The reversal of 2013022200 is 22203102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122470 + ... + 137930.

It is an arithmetic number, because the mean of its divisors is an integer number (38345760).

Almost surely, 2^2013022200 is an apocalyptic number.

2013022200 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 2013022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681192960).

2013022200 is an abundant number, since it is smaller than the sum of its proper divisors (5349363720).

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

2013022200 is a wasteful number, since it uses less digits than its factorization.

2013022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15518 (or 15509 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2013022200 is about 44866.7159484623. The cubic root of 2013022200 is about 1262.6496270721.

Adding to 2013022200 its reverse (22203102), we get a palindrome (2035225302).

The spelling of 2013022200 in words is "two billion, thirteen million, twenty-two thousand, two hundred".