211666752 has 126 divisors (see below), whose sum is σ = 667093154. Its totient is φ = 64120320.

The previous prime is 211666739. The next prime is 211666771. The reversal of 211666752 is 257666112.

It is a happy number.

211666752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 8433216 = 14256^2 + 2904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68178 + ... + 71214.

Almost surely, 2^211666752 is an apocalyptic number.

211666752 is a gapful number since it is divisible by the number (22) 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 211666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333546577).

211666752 is an abundant number, since it is smaller than the sum of its proper divisors (455426402).

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

211666752 is a wasteful number, since it uses less digits than its factorization.

211666752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3053 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 211666752 is about 14548.7714945283. The cubic root of 211666752 is about 595.9605997707.

The spelling of 211666752 in words is "two hundred eleven million, six hundred sixty-six thousand, seven hundred fifty-two".