212193216 has 224 divisors, whose sum is σ = 687628800. Its totient is φ = 63866880.

The previous prime is 212193211. The next prime is 212193217. The reversal of 212193216 is 612391212.

212193216 is digitally balanced in base 2, because in such base 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 (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 212193216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212193211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754996 + ... + 755276.

Almost surely, 2^212193216 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 212193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343814400).

212193216 is an abundant number, since it is smaller than the sum of its proper divisors (475435584).

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

212193216 is a wasteful number, since it uses less digits than its factorization.

212193216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 212193216 is about 14566.8533321373. The cubic root of 212193216 is about 596.4542878168.

The spelling of 212193216 in words is "two hundred twelve million, one hundred ninety-three thousand, two hundred sixteen".