201167200 has 216 divisors, whose sum is σ = 571557168. Its totient is φ = 68597760.

The previous prime is 201167159. The next prime is 201167207. The reversal of 201167200 is 2761102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201167207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6936786 + ... + 6936814.

It is an arithmetic number, because the mean of its divisors is an integer number (2646098).

Almost surely, 2^201167200 is an apocalyptic number.

201167200 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 201167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285778584).

201167200 is an abundant number, since it is smaller than the sum of its proper divisors (370389968).

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

201167200 is a wasteful number, since it uses less digits than its factorization.

201167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 201167200 is about 14183.3423423395. The cubic root of 201167200 is about 585.9389795400.

The spelling of 201167200 in words is "two hundred one million, one hundred sixty-seven thousand, two hundred".