212083200 has 360 divisors, whose sum is σ = 870712128. Its totient is φ = 48291840.

The previous prime is 212083171. The next prime is 212083213. The reversal of 212083200 is 2380212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 806269 + ... + 806531.

Almost surely, 2^212083200 is an apocalyptic number.

212083200 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 212083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435356064).

212083200 is an abundant number, since it is smaller than the sum of its proper divisors (658628928).

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

212083200 is a wasteful number, since it uses less digits than its factorization.

212083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

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

The square root of 212083200 is about 14563.0765980269. The cubic root of 212083200 is about 596.3511886068.

The spelling of 212083200 in words is "two hundred twelve million, eighty-three thousand, two hundred".