201333200 has 60 divisors (see below), whose sum is σ = 488783820. Its totient is φ = 79687680.

The previous prime is 201333157. The next prime is 201333221. The reversal of 201333200 is 2333102.

It can be written as a sum of positive squares in 6 ways, for example, as 33856 + 201299344 = 184^2 + 14188^2 .

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, 36206 + ... + 41394.

It is an arithmetic number, because the mean of its divisors is an integer number (8146397).

Almost surely, 2^201333200 is an apocalyptic number.

201333200 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 201333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244391910).

201333200 is an abundant number, since it is smaller than the sum of its proper divisors (287450620).

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

201333200 is a wasteful number, since it uses less digits than its factorization.

201333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 201333200 is about 14189.1930707845. The cubic root of 201333200 is about 586.1001044297.

Adding to 201333200 its reverse (2333102), we get a palindrome (203666302).

The spelling of 201333200 in words is "two hundred one million, three hundred thirty-three thousand, two hundred".