211266216 has 96 divisors (see below), whose sum is σ = 657970560. Its totient is φ = 59988096.

The previous prime is 211266203. The next prime is 211266227. The reversal of 211266216 is 612662112.

211266216 = 3³ + 4³ + ... + 170³.

211266216 is a `hidden beast` number, since 2 + 11 + 26 + 621 + 6 = 666.

211266216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 211266216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85981 + ... + 88403.

It is an arithmetic number, because the mean of its divisors is an integer number (6853860).

Almost surely, 2^211266216 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 211266216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328985280).

211266216 is an abundant number, since it is smaller than the sum of its proper divisors (446704344).

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

211266216 is a wasteful number, since it uses less digits than its factorization.

211266216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2608 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 211266216 is about 14534.9996904025. Note that the first 3 decimals coincide. The cubic root of 211266216 is about 595.5844512621.

The spelling of 211266216 in words is "two hundred eleven million, two hundred sixty-six thousand, two hundred sixteen".