201813200 has 60 divisors (see below), whose sum is σ = 486477420. Its totient is φ = 80455680.

The previous prime is 201813167. The next prime is 201813203. The reversal of 201813200 is 2318102.

It can be written as a sum of positive squares in 6 ways, for example, as 1420864 + 200392336 = 1192^2 + 14156^2 .

It is a super-3 number, since 3×201813200³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201813203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154952 + ... + 156248.

It is an arithmetic number, because the mean of its divisors is an integer number (8107957).

Almost surely, 2^201813200 is an apocalyptic number.

201813200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243238710).

201813200 is an abundant number, since it is smaller than the sum of its proper divisors (284664220).

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

201813200 is a wasteful number, since it uses less digits than its factorization.

201813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 201813200 is about 14206.0972825051. The cubic root of 201813200 is about 586.5655099924.

The spelling of 201813200 in words is "two hundred one million, eight hundred thirteen thousand, two hundred".