214230324224 has 88 divisors (see below), whose sum is σ = 495626845440. Its totient is φ = 90650566656.

The previous prime is 214230324221. The next prime is 214230324227. The reversal of 214230324224 is 422423032412.

214230324224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214230324221) and next prime (214230324227).

It is a super-2 number, since 2×214230324224² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214230324221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377114 + ... + 755430.

Almost surely, 2^214230324224 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 214230324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247813422720).

214230324224 is an abundant number, since it is smaller than the sum of its proper divisors (281396521216).

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

214230324224 is an equidigital number, since it uses as much as digits as its factorization.

214230324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378423 (or 378405 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 214230324224 its reverse (422423032412), we get a palindrome (636653356636).

The spelling of 214230324224 in words is "two hundred fourteen billion, two hundred thirty million, three hundred twenty-four thousand, two hundred twenty-four".