214801916 has 48 divisors (see below), whose sum is σ = 458492160. Its totient is φ = 86002560.

The previous prime is 214801907. The next prime is 214801921. The reversal of 214801916 is 619108412.

It is a super-2 number, since 2×214801916² = 92279726234542112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36071 + ... + 41601.

It is an arithmetic number, because the mean of its divisors is an integer number (9551920).

Almost surely, 2^214801916 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 214801916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229246080).

214801916 is an abundant number, since it is smaller than the sum of its proper divisors (243690244).

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

214801916 is a wasteful number, since it uses less digits than its factorization.

214801916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5634 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 214801916 is about 14656.1221337706. The cubic root of 214801916 is about 598.8886055714. Note that the first 3 decimals are identical.

The spelling of 214801916 in words is "two hundred fourteen million, eight hundred one thousand, nine hundred sixteen".