214050500 has 48 divisors (see below), whose sum is σ = 473491200. Its totient is φ = 84520800.

The previous prime is 214050491. The next prime is 214050509. The reversal of 214050500 is 5050412.

It is an interprime number because it is at equal distance from previous prime (214050491) and next prime (214050509).

It is not an unprimeable number, because it can be changed into a prime (214050509) 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, 36791 + ... + 42209.

It is an arithmetic number, because the mean of its divisors is an integer number (9864400).

Almost surely, 2^214050500 is an apocalyptic number.

214050500 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 214050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236745600).

214050500 is an abundant number, since it is smaller than the sum of its proper divisors (259440700).

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

214050500 is a wasteful number, since it uses less digits than its factorization.

214050500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 214050500 is about 14630.4647909764. The cubic root of 214050500 is about 598.1894494139.

The spelling of 214050500 in words is "two hundred fourteen million, fifty thousand, five hundred".