213811200 has 288 divisors, whose sum is σ = 792318150. Its totient is φ = 55050240.

The previous prime is 213811189. The next prime is 213811201. The reversal of 213811200 is 2118312.

It can be written as a sum of positive squares in 3 ways, for example, as 160579584 + 53231616 = 12672^2 + 7296^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (213811201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7372786 + ... + 7372814.

Almost surely, 2^213811200 is an apocalyptic number.

213811200 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 213811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396159075).

213811200 is an abundant number, since it is smaller than the sum of its proper divisors (578506950).

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

213811200 is an equidigital number, since it uses as much as digits as its factorization.

213811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 213811200 is about 14622.2843632587. The cubic root of 213811200 is about 597.9664489030.

Adding to 213811200 its reverse (2118312), we get a palindrome (215929512).

The spelling of 213811200 in words is "two hundred thirteen million, eight hundred eleven thousand, two hundred".