2213220330000 has 300 divisors, whose sum is σ = 7743086965900. Its totient is φ = 589953024000.

The previous prime is 2213220329993. The next prime is 2213220330017. The reversal of 2213220330000 is 330223122.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2186695647504 + 26524682496 = 1478748^2 + 162864^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 406167276 + ... + 406172724.

Almost surely, 2^{2213220330000} is an apocalyptic number.

2213220330000 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 2213220330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871543482950).

2213220330000 is an abundant number, since it is smaller than the sum of its proper divisors (5529866635900).

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

2213220330000 is a wasteful number, since it uses less digits than its factorization.

2213220330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9996 (or 9972 counting only the distinct ones).

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

Adding to 2213220330000 its reverse (330223122), we get a palindrome (2213550553122).

The spelling of 2213220330000 in words is "two trillion, two hundred thirteen billion, two hundred twenty million, three hundred thirty thousand".