211133016 has 72 divisors (see below), whose sum is σ = 603572580. Its totient is φ = 66665376.

The previous prime is 211133011. The next prime is 211133023. The reversal of 211133016 is 610331112.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 211133016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211133011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21931 + ... + 30053.

Almost surely, 2^211133016 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 211133016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301786290).

211133016 is an abundant number, since it is smaller than the sum of its proper divisors (392439564).

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

211133016 is a wasteful number, since it uses less digits than its factorization.

211133016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8173 (or 8147 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 211133016 is about 14530.4169245070. The cubic root of 211133016 is about 595.4592560956.

Adding to 211133016 its reverse (610331112), we get a palindrome (821464128).

The spelling of 211133016 in words is "two hundred eleven million, one hundred thirty-three thousand, sixteen".