201249216 has 336 divisors, whose sum is σ = 722741760. Its totient is φ = 52254720.

The previous prime is 201249211. The next prime is 201249227. The reversal of 201249216 is 612942102.

201249216 is a `hidden beast` number, since 201 + 249 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×201249216² = 81002493881229312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201249216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201249211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2834461 + ... + 2834531.

Almost surely, 2^201249216 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 201249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361370880).

201249216 is an abundant number, since it is smaller than the sum of its proper divisors (521492544).

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

201249216 is a wasteful number, since it uses less digits than its factorization.

201249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201249216 is about 14186.2333267150. The cubic root of 201249216 is about 586.0185979568.

The spelling of 201249216 in words is "two hundred one million, two hundred forty-nine thousand, two hundred sixteen".