201141216 has 72 divisors (see below), whose sum is σ = 591743880. Its totient is φ = 64732416.

The previous prime is 201141179. The next prime is 201141221. The reversal of 201141216 is 612141102.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3690 + ... + 20393.

It is an arithmetic number, because the mean of its divisors is an integer number (8218665).

Almost surely, 2^201141216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201141216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295871940).

201141216 is an abundant number, since it is smaller than the sum of its proper divisors (390602664).

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

201141216 is a wasteful number, since it uses less digits than its factorization.

201141216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24128 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 201141216 is about 14182.4263086399. The cubic root of 201141216 is about 585.9137506193.

Adding to 201141216 its reverse (612141102), we get a palindrome (813282318).

The spelling of 201141216 in words is "two hundred one million, one hundred forty-one thousand, two hundred sixteen".