212830200 has 192 divisors, whose sum is σ = 799948800. Its totient is φ = 51580800.

The previous prime is 212830183. The next prime is 212830207. The reversal of 212830200 is 2038212.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212830207) 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 47 ways as a sum of consecutive naturals, for example, 57609 + ... + 61191.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2^212830200 is an apocalyptic number.

212830200 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 212830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399974400).

212830200 is an abundant number, since it is smaller than the sum of its proper divisors (587118600).

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

212830200 is a wasteful number, since it uses less digits than its factorization.

212830200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212830200 is about 14588.7011073639. The cubic root of 212830200 is about 597.0505247510.

Adding to 212830200 its reverse (2038212), we get a palindrome (214868412).

The spelling of 212830200 in words is "two hundred twelve million, eight hundred thirty thousand, two hundred".