201838200 has 48 divisors (see below), whose sum is σ = 625700280. Its totient is φ = 53823360.

The previous prime is 201838193. The next prime is 201838213. The reversal of 201838200 is 2838102.

201838200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167599 + ... + 168798.

Almost surely, 2^201838200 is an apocalyptic number.

201838200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201838200 is an abundant number, since it is smaller than the sum of its proper divisors (423862080).

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

201838200 is a wasteful number, since it uses less digits than its factorization.

201838200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336416 (or 336407 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 201838200 is about 14206.9771591285. The cubic root of 201838200 is about 586.5897296375.

The spelling of 201838200 in words is "two hundred one million, eight hundred thirty-eight thousand, two hundred".