213244522400 has 144 divisors (see below), whose sum is σ = 640717991424. Its totient is φ = 67488353280.

The previous prime is 213244522369. The next prime is 213244522409. The reversal of 213244522400 is 4225442312.

213244522400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213244522409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1391792 + ... + 1537391.

It is an arithmetic number, because the mean of its divisors is an integer number (4449430496).

Almost surely, 2^213244522400 is an apocalyptic number.

213244522400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213244522400 is an abundant number, since it is smaller than the sum of its proper divisors (427473469024).

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

213244522400 is a wasteful number, since it uses less digits than its factorization.

213244522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929223 (or 2929210 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 213244522400 its reverse (4225442312), we get a palindrome (217469964712).

The spelling of 213244522400 in words is "two hundred thirteen billion, two hundred forty-four million, five hundred twenty-two thousand, four hundred".