211852872 has 288 divisors, whose sum is σ = 749062080. Its totient is φ = 53464320.

The previous prime is 211852871. The next prime is 211852903. The reversal of 211852872 is 278258112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211852871) 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 71 ways as a sum of consecutive naturals, for example, 2056773 + ... + 2056875.

It is an arithmetic number, because the mean of its divisors is an integer number (2600910).

Almost surely, 2^211852872 is an apocalyptic number.

211852872 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 211852872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374531040).

211852872 is an abundant number, since it is smaller than the sum of its proper divisors (537209208).

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

211852872 is a wasteful number, since it uses less digits than its factorization.

211852872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 211852872 is about 14555.1665054028. The cubic root of 211852872 is about 596.1352259865.

The spelling of 211852872 in words is "two hundred eleven million, eight hundred fifty-two thousand, eight hundred seventy-two".