213892200 has 144 divisors (see below), whose sum is σ = 722498400. Its totient is φ = 56707200.

The previous prime is 213892193. The next prime is 213892201. The reversal of 213892200 is 2298312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213892201) 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 35 ways as a sum of consecutive naturals, for example, 595621 + ... + 595979.

It is an arithmetic number, because the mean of its divisors is an integer number (5017350).

Almost surely, 2^213892200 is an apocalyptic number.

213892200 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 213892200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361249200).

213892200 is an abundant number, since it is smaller than the sum of its proper divisors (508606200).

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

213892200 is a wasteful number, since it uses less digits than its factorization.

213892200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 213892200 is about 14625.0538460547. The cubic root of 213892200 is about 598.0419503536.

The spelling of 213892200 in words is "two hundred thirteen million, eight hundred ninety-two thousand, two hundred".