201828200 has 48 divisors (see below), whose sum is σ = 536290080. Its totient is φ = 69197760.

The previous prime is 201828167. The next prime is 201828223. The reversal of 201828200 is 2828102.

It is an unprimeable number.

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, 70682 + ... + 73481.

It is an arithmetic number, because the mean of its divisors is an integer number (11172710).

Almost surely, 2^201828200 is an apocalyptic number.

201828200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201828200 is an abundant number, since it is smaller than the sum of its proper divisors (334461880).

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

201828200 is a wasteful number, since it uses less digits than its factorization.

201828200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144186 (or 144177 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 201828200 is about 14206.6252150185. The cubic root of 201828200 is about 586.5800420195.

It can be divided in two parts, 20182 and 8200, that added together give a palindrome (28382).

The spelling of 201828200 in words is "two hundred one million, eight hundred twenty-eight thousand, two hundred".