214832016 has 120 divisors (see below), whose sum is σ = 697596224. Its totient is φ = 60445440.

The previous prime is 214832003. The next prime is 214832017. The reversal of 214832016 is 610238412.

214832016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214832017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65946 + ... + 69126.

Almost surely, 2^214832016 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 214832016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348798112).

214832016 is an abundant number, since it is smaller than the sum of its proper divisors (482764208).

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

214832016 is a wasteful number, since it uses less digits than its factorization.

214832016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 214832016 is about 14657.1489724298. The cubic root of 214832016 is about 598.9165781728.

The spelling of 214832016 in words is "two hundred fourteen million, eight hundred thirty-two thousand, sixteen".