211992816 has 120 divisors (see below), whose sum is σ = 641972304. Its totient is φ = 60103680.

The previous prime is 211992793. The next prime is 211992827. The reversal of 211992816 is 618299112.

211992816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406636 + ... + 407156.

Almost surely, 2^211992816 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 211992816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320986152).

211992816 is an abundant number, since it is smaller than the sum of its proper divisors (429979488).

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

211992816 is a wasteful number, since it uses less digits than its factorization.

211992816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 211992816 is about 14559.9730768982. The cubic root of 211992816 is about 596.2664604363.

The spelling of 211992816 in words is "two hundred eleven million, nine hundred ninety-two thousand, eight hundred sixteen".