2213323434400 has 144 divisors (see below), whose sum is σ = 5960838278808. Its totient is φ = 797294592000.

The previous prime is 2213323434383. The next prime is 2213323434409. The reversal of 2213323434400 is 44343233122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6446805264 + 2206876629136 = 80292^2 + 1485556^2 .

It is a super-2 number, since 2×2213323434400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2213323434409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2168961 + ... + 3021760.

Almost surely, 2^{2213323434400} is an apocalyptic number.

2213323434400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213323434400 is an abundant number, since it is smaller than the sum of its proper divisors (3747514844408).

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

2213323434400 is a wasteful number, since it uses less digits than its factorization.

2213323434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190795 (or 5190782 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 2213323434400 its reverse (44343233122), we get a palindrome (2257666667522).

The spelling of 2213323434400 in words is "two trillion, two hundred thirteen billion, three hundred twenty-three million, four hundred thirty-four thousand, four hundred".