214202304330 has 128 divisors (see below), whose sum is σ = 590168636928. Its totient is φ = 48740769792.

The previous prime is 214202304319. The next prime is 214202304331. The reversal of 214202304330 is 33403202412.

214202304330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214202304330.

It is not an unprimeable number, because it can be changed into a prime (214202304331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66582882 + ... + 66586098.

It is an arithmetic number, because the mean of its divisors is an integer number (4610692476).

Almost surely, 2^214202304330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214202304330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295084318464).

214202304330 is an abundant number, since it is smaller than the sum of its proper divisors (375966332598).

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

214202304330 is a wasteful number, since it uses less digits than its factorization.

214202304330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 214202304330 its reverse (33403202412), we get a palindrome (247605506742).

The spelling of 214202304330 in words is "two hundred fourteen billion, two hundred two million, three hundred four thousand, three hundred thirty".