211444772 has 48 divisors (see below), whose sum is σ = 470074752. Its totient is φ = 80820480.

The previous prime is 211444729. The next prime is 211444777. The reversal of 211444772 is 277444112.

It is a super-2 number, since 2×211444772² = 89417783212263968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (211444777) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9848 + ... + 22800.

It is an arithmetic number, because the mean of its divisors is an integer number (9793224).

Almost surely, 2^211444772 is an apocalyptic number.

211444772 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 211444772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235037376).

211444772 is an abundant number, since it is smaller than the sum of its proper divisors (258629980).

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

211444772 is a wasteful number, since it uses less digits than its factorization.

211444772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13028 (or 13026 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 211444772 is about 14541.1406705251. The cubic root of 211444772 is about 595.7521941750.

Adding to 211444772 its reverse (277444112), we get a palindrome (488888884).

The spelling of 211444772 in words is "two hundred eleven million, four hundred forty-four thousand, seven hundred seventy-two".