212286816 has 180 divisors, whose sum is σ = 706557852. Its totient is φ = 60455808.

The previous prime is 212286793. The next prime is 212286821. The reversal of 212286816 is 618682212.

212286816 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691335 + ... + 691641.

Almost surely, 2^212286816 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 212286816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353278926).

212286816 is an abundant number, since it is smaller than the sum of its proper divisors (494271036).

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

212286816 is an equidigital number, since it uses as much as digits as its factorization.

212286816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 319 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 212286816 is about 14570.0657513959. The cubic root of 212286816 is about 596.5419750603.

The spelling of 212286816 in words is "two hundred twelve million, two hundred eighty-six thousand, eight hundred sixteen".