211032016 has 80 divisors (see below), whose sum is σ = 479125584. Its totient is φ = 89137152.

The previous prime is 211032011. The next prime is 211032023. The reversal of 211032016 is 610230112.

It can be written as a sum of positive squares in 8 ways, for example, as 12222016 + 198810000 = 3496^2 + 14100^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211032011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130026 + ... + 131638.

Almost surely, 2^211032016 is an apocalyptic number.

211032016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211032016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239562792).

211032016 is an abundant number, since it is smaller than the sum of its proper divisors (268093568).

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

211032016 is a wasteful number, since it uses less digits than its factorization.

211032016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 211032016 is about 14526.9410407009. The cubic root of 211032016 is about 595.3642907218.

Adding to 211032016 its reverse (610230112), we get a palindrome (821262128).

The spelling of 211032016 in words is "two hundred eleven million, thirty-two thousand, sixteen".