214390224 has 120 divisors (see below), whose sum is σ = 637578240. Its totient is φ = 67060224.

The previous prime is 214390181. The next prime is 214390237. The reversal of 214390224 is 422093412.

214390224 is a `hidden beast` number, since 2 + 1 + 439 + 0 + 224 = 666.

214390224 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347164 + ... + 347780.

It is an arithmetic number, because the mean of its divisors is an integer number (5313152).

Almost surely, 2^214390224 is an apocalyptic number.

214390224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214390224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318789120).

214390224 is an abundant number, since it is smaller than the sum of its proper divisors (423188016).

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

214390224 is a wasteful number, since it uses less digits than its factorization.

214390224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 214390224 is about 14642.0703454122. The cubic root of 214390224 is about 598.5057484430.

The spelling of 214390224 in words is "two hundred fourteen million, three hundred ninety thousand, two hundred twenty-four".