213205200 has 240 divisors, whose sum is σ = 749118720. Its totient is φ = 51517440.

The previous prime is 213205169. The next prime is 213205219. The reversal of 213205200 is 2502312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213205200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1232314 + ... + 1232486.

It is an arithmetic number, because the mean of its divisors is an integer number (3121328).

Almost surely, 2^213205200 is an apocalyptic number.

213205200 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 213205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374559360).

213205200 is an abundant number, since it is smaller than the sum of its proper divisors (535913520).

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

213205200 is a wasteful number, since it uses less digits than its factorization.

213205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 213205200 is about 14601.5478631548. The cubic root of 213205200 is about 597.4009803056.

Adding to 213205200 its reverse (2502312), we get a palindrome (215707512).

The spelling of 213205200 in words is "two hundred thirteen million, two hundred five thousand, two hundred".