213784200 has 432 divisors, whose sum is σ = 884407680. Its totient is φ = 45308160.

The previous prime is 213784183. The next prime is 213784211. The reversal of 213784200 is 2487312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4548577 + ... + 4548623.

It is an arithmetic number, because the mean of its divisors is an integer number (2047240).

Almost surely, 2^213784200 is an apocalyptic number.

213784200 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 213784200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442203840).

213784200 is an abundant number, since it is smaller than the sum of its proper divisors (670623480).

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

213784200 is a wasteful number, since it uses less digits than its factorization.

213784200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 213784200 is about 14621.3610857540. The cubic root of 213784200 is about 597.9412775154.

The spelling of 213784200 in words is "two hundred thirteen million, seven hundred eighty-four thousand, two hundred".