214728200 has 48 divisors (see below), whose sum is σ = 500392080. Its totient is φ = 85693760.

The previous prime is 214728187. The next prime is 214728203. The reversal of 214728200 is 2827412.

It is a super-2 number, since 2×214728200² = 92216399750480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214728200.

It is not an unprimeable number, because it can be changed into a prime (214728203) 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 11 ways as a sum of consecutive naturals, for example, 111647 + ... + 113553.

It is an arithmetic number, because the mean of its divisors is an integer number (10424835).

Almost surely, 2^214728200 is an apocalyptic number.

214728200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214728200 is an abundant number, since it is smaller than the sum of its proper divisors (285663880).

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

214728200 is a wasteful number, since it uses less digits than its factorization.

214728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 214728200 is about 14653.6070644739. The cubic root of 214728200 is about 598.8200886102.

The spelling of 214728200 in words is "two hundred fourteen million, seven hundred twenty-eight thousand, two hundred".