214809516 has 48 divisors (see below), whose sum is σ = 586230400. Its totient is φ = 67833936.

The previous prime is 214809503. The next prime is 214809521. The reversal of 214809516 is 615908412.

214809516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214809516² = 92286256328308512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 50290 + ... + 54393.

Almost surely, 2^214809516 is an apocalyptic number.

It is an amenable number.

214809516 is an abundant number, since it is smaller than the sum of its proper divisors (371420884).

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

214809516 is a wasteful number, since it uses less digits than its factorization.

214809516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104715 (or 104707 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 214809516 is about 14656.3814087926. The cubic root of 214809516 is about 598.8956686675.

The spelling of 214809516 in words is "two hundred fourteen million, eight hundred nine thousand, five hundred sixteen".