214809216 has 128 divisors (see below), whose sum is σ = 591763200. Its totient is φ = 69009408.

The previous prime is 214809191. The next prime is 214809227. The reversal of 214809216 is 612908412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×214809216² = 92285998557069312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214480 + ... + 2214576.

It is an arithmetic number, because the mean of its divisors is an integer number (4623150).

Almost surely, 2^214809216 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 214809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295881600).

214809216 is an abundant number, since it is smaller than the sum of its proper divisors (376953984).

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

214809216 is an equidigital number, since it uses as much as digits as its factorization.

214809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 214809216 is about 14656.3711743392. The cubic root of 214809216 is about 598.8953898643.

The spelling of 214809216 in words is "two hundred fourteen million, eight hundred nine thousand, two hundred sixteen".