2212333200 has 720 divisors, whose sum is σ = 10016787456. Its totient is φ = 438451200.

The previous prime is 2212333159. The next prime is 2212333213. The reversal of 2212333200 is 23332122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6375427 + ... + 6375773.

Almost surely, 2^2212333200 is an apocalyptic number.

2212333200 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 2212333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008393728).

2212333200 is an abundant number, since it is smaller than the sum of its proper divisors (7804454256).

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

2212333200 is a wasteful number, since it uses less digits than its factorization.

2212333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2212333200 is about 47035.4462081524. The cubic root of 2212333200 is about 1303.0172912719.

Adding to 2212333200 its reverse (23332122), we get a palindrome (2235665322).

The spelling of 2212333200 in words is "two billion, two hundred twelve million, three hundred thirty-three thousand, two hundred".