2213424200 has 96 divisors (see below), whose sum is σ = 5554436160. Its totient is φ = 815443200.

The previous prime is 2213424139. The next prime is 2213424229. The reversal of 2213424200 is 24243122.

It is a super-3 number, since 3×2213424200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889615 + ... + 1890785.

It is an arithmetic number, because the mean of its divisors is an integer number (57858710).

Almost surely, 2^2213424200 is an apocalyptic number.

2213424200 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 2213424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777218080).

2213424200 is an abundant number, since it is smaller than the sum of its proper divisors (3341011960).

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

2213424200 is a wasteful number, since it uses less digits than its factorization.

2213424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2213424200 is about 47047.0424150127. The cubic root of 2213424200 is about 1303.2314480191.

Adding to 2213424200 its reverse (24243122), we get a palindrome (2237667322).

The spelling of 2213424200 in words is "two billion, two hundred thirteen million, four hundred twenty-four thousand, two hundred".