200201200 has 120 divisors (see below), whose sum is σ = 513681408. Its totient is φ = 74807040.

The previous prime is 200201171. The next prime is 200201213. The reversal of 200201200 is 2102002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432169 + ... + 432631.

Almost surely, 2^200201200 is an apocalyptic number.

200201200 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 200201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256840704).

200201200 is an abundant number, since it is smaller than the sum of its proper divisors (313480208).

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

200201200 is a wasteful number, since it uses less digits than its factorization.

200201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 200201200 is about 14149.2473298052. The cubic root of 200201200 is about 584.9995860420. Note that the first 3 decimals are identical.

Adding to 200201200 its reverse (2102002), we get a palindrome (202303202).

The spelling of 200201200 in words is "two hundred million, two hundred one thousand, two hundred".