201824200 has 24 divisors (see below), whose sum is σ = 469241730. Its totient is φ = 80729600.

The previous prime is 201824179. The next prime is 201824201. The reversal of 201824200 is 2428102.

201824200 is digitally balanced in base 3, 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 3 ways, for example, as 139192804 + 62631396 = 11798^2 + 7914^2 .

It is not an unprimeable number, because it can be changed into a prime (201824201) 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 5 ways as a sum of consecutive naturals, for example, 504361 + ... + 504760.

Almost surely, 2^201824200 is an apocalyptic number.

201824200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201824200 is an abundant number, since it is smaller than the sum of its proper divisors (267417530).

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

201824200 is a wasteful number, since it uses less digits than its factorization.

201824200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009137 (or 1009128 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 201824200 is about 14206.4844349332. The cubic root of 201824200 is about 586.5761668826.

The spelling of 201824200 in words is "two hundred one million, eight hundred twenty-four thousand, two hundred".