211214520 has 256 divisors, whose sum is σ = 802483200. Its totient is φ = 48913920.

The previous prime is 211214519. The next prime is 211214557. The reversal of 211214520 is 25412112.

211214520 is a `hidden beast` number, since 21 + 121 + 4 + 520 = 666.

211214520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211214520² = 89223146917660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211214493 and 211214502.

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 63 ways as a sum of consecutive naturals, for example, 272854 + ... + 273626.

It is an arithmetic number, because the mean of its divisors is an integer number (3134700).

Almost surely, 2^211214520 is an apocalyptic number.

211214520 is a gapful number since it is divisible by the number (20) 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 211214520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401241600).

211214520 is an abundant number, since it is smaller than the sum of its proper divisors (591268680).

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

211214520 is a wasteful number, since it uses less digits than its factorization.

211214520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 211214520 is about 14533.2212533905. The cubic root of 211214520 is about 595.5358682530.

Adding to 211214520 its reverse (25412112), we get a palindrome (236626632).

The spelling of 211214520 in words is "two hundred eleven million, two hundred fourteen thousand, five hundred twenty".