214838500 has 24 divisors (see below), whose sum is σ = 469208376. Its totient is φ = 85935200.

The previous prime is 214838473. The next prime is 214838509. The reversal of 214838500 is 5838412.

214838500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 68525284 + 146313216 = 8278^2 + 12096^2 .

It is not an unprimeable number, because it can be changed into a prime (214838509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214339 + ... + 215338.

It is an arithmetic number, because the mean of its divisors is an integer number (19550349).

Almost surely, 2^214838500 is an apocalyptic number.

214838500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214838500 is an abundant number, since it is smaller than the sum of its proper divisors (254369876).

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

214838500 is a wasteful number, since it uses less digits than its factorization.

214838500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429696 (or 429684 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 214838500 is about 14657.3701597524. The cubic root of 214838500 is about 598.9226035565.

The spelling of 214838500 in words is "two hundred fourteen million, eight hundred thirty-eight thousand, five hundred".