2213325200 has 240 divisors, whose sum is σ = 6099966720. Its totient is φ = 766402560.

The previous prime is 2213325199. The next prime is 2213325203. The reversal of 2213325200 is 25233122.

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

It is not an unprimeable number, because it can be changed into a prime (2213325203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4780169 + ... + 4780631.

It is an arithmetic number, because the mean of its divisors is an integer number (25416528).

Almost surely, 2^2213325200 is an apocalyptic number.

2213325200 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 2213325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049983360).

2213325200 is an abundant number, since it is smaller than the sum of its proper divisors (3886641520).

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

2213325200 is a wasteful number, since it uses less digits than its factorization.

2213325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2213325200 is about 47045.9902648462. The cubic root of 2213325200 is about 1303.2120178172.

Adding to 2213325200 its reverse (25233122), we get a palindrome (2238558322).

The spelling of 2213325200 in words is "two billion, two hundred thirteen million, three hundred twenty-five thousand, two hundred".