214242216 has 64 divisors (see below), whose sum is σ = 552614400. Its totient is φ = 69182400.

The previous prime is 214242199. The next prime is 214242253. The reversal of 214242216 is 612242412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 99471 + ... + 101601.

It is an arithmetic number, because the mean of its divisors is an integer number (8634600).

Almost surely, 2^214242216 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 214242216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276307200).

214242216 is an abundant number, since it is smaller than the sum of its proper divisors (338372184).

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

214242216 is a wasteful number, since it uses less digits than its factorization.

214242216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2266 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 214242216 is about 14637.0152695145. The cubic root of 214242216 is about 598.3679871371.

Adding to 214242216 its reverse (612242412), we get a palindrome (826484628).

The spelling of 214242216 in words is "two hundred fourteen million, two hundred forty-two thousand, two hundred sixteen".