2222233200 has 360 divisors, whose sum is σ = 8910407376. Its totient is φ = 506880000.

The previous prime is 2222233193. The next prime is 2222233207. The reversal of 2222233200 is 23322222.

It is an interprime number because it is at equal distance from previous prime (2222233193) and next prime (2222233207).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222233207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 671550 + ... + 674850.

Almost surely, 2^2222233200 is an apocalyptic number.

2222233200 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 2222233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455203688).

2222233200 is an abundant number, since it is smaller than the sum of its proper divisors (6688174176).

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

2222233200 is a wasteful number, since it uses less digits than its factorization.

2222233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2222233200 is about 47140.5685158760. The cubic root of 2222233200 is about 1304.9580292134.

Adding to 2222233200 its reverse (23322222), we get a palindrome (2245555422).

It can be divided in two parts, 22 and 22233200, that added together give a palindrome (22233222).

The spelling of 2222233200 in words is "two billion, two hundred twenty-two million, two hundred thirty-three thousand, two hundred".