212200208 has 160 divisors (see below), whose sum is σ = 514252800. Its totient is φ = 83635200.

The previous prime is 212200187. The next prime is 212200211. The reversal of 212200208 is 802002212.

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 31 ways as a sum of consecutive naturals, for example, 2384228 + ... + 2384316.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2^212200208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212200208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

212200208 is an abundant number, since it is smaller than the sum of its proper divisors (302052592).

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

212200208 is a wasteful number, since it uses less digits than its factorization.

212200208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 212200208 is about 14567.0933270849. The cubic root of 212200208 is about 596.4608390199.

The spelling of 212200208 in words is "two hundred twelve million, two hundred thousand, two hundred eight".