201835200 has 168 divisors, whose sum is σ = 756911872. Its totient is φ = 46126080.

The previous prime is 201835199. The next prime is 201835213. The reversal of 201835200 is 2538102.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 30597 + ... + 36603.

Almost surely, 2^201835200 is an apocalyptic number.

201835200 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 201835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378455936).

201835200 is an abundant number, since it is smaller than the sum of its proper divisors (555076672).

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

201835200 is a wasteful number, since it uses less digits than its factorization.

201835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6039 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 201835200 is about 14206.8715768110. The cubic root of 201835200 is about 586.5868233857.

The spelling of 201835200 in words is "two hundred one million, eight hundred thirty-five thousand, two hundred".