214000540 has 48 divisors (see below), whose sum is σ = 485085888. Its totient is φ = 78833664.

The previous prime is 214000531. The next prime is 214000543. The reversal of 214000540 is 45000412.

It is a super-2 number, since 2×214000540² = 91592462240583200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214000543) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 174369 + ... + 175591.

It is an arithmetic number, because the mean of its divisors is an integer number (10105956).

Almost surely, 2^214000540 is an apocalyptic number.

214000540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214000540 is an abundant number, since it is smaller than the sum of its proper divisors (271085348).

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

214000540 is a wasteful number, since it uses less digits than its factorization.

214000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 214000540 is about 14628.7572951362. The cubic root of 214000540 is about 598.1429060821.

Adding to 214000540 its reverse (45000412), we get a palindrome (259000952).

The spelling of 214000540 in words is "two hundred fourteen million, five hundred forty", and thus it is an aban number.