201287216 has 120 divisors (see below), whose sum is σ = 465438960. Its totient is φ = 83566080.

The previous prime is 201287209. The next prime is 201287221. The reversal of 201287216 is 612782102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3797846 + ... + 3797898.

It is an arithmetic number, because the mean of its divisors is an integer number (3878658).

Almost surely, 2^201287216 is an apocalyptic number.

201287216 is a gapful number since it is divisible by the number (26) 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 201287216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232719480).

201287216 is an abundant number, since it is smaller than the sum of its proper divisors (264151744).

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

201287216 is a wasteful number, since it uses less digits than its factorization.

201287216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 201287216 is about 14187.5725901227. The cubic root of 201287216 is about 586.0554797655.

The spelling of 201287216 in words is "two hundred one million, two hundred eighty-seven thousand, two hundred sixteen".