211890132 has 72 divisors (see below), whose sum is σ = 555183720. Its totient is φ = 68090880.

The previous prime is 211890127. The next prime is 211890137. The reversal of 211890132 is 231098112.

211890132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211890127) and next prime (211890137).

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 211877136 = 114^2 + 14556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211890096 and 211890105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211890137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130558 + ... + 132170.

It is an arithmetic number, because the mean of its divisors is an integer number (7710885).

Almost surely, 2^211890132 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 211890132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277591860).

211890132 is an abundant number, since it is smaller than the sum of its proper divisors (343293588).

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

211890132 is a wasteful number, since it uses less digits than its factorization.

211890132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 211890132 is about 14556.4464070047. The cubic root of 211890132 is about 596.1701727182.

The spelling of 211890132 in words is "two hundred eleven million, eight hundred ninety thousand, one hundred thirty-two".