214402231300 has 72 divisors (see below), whose sum is σ = 479161206720. Its totient is φ = 83210083200.

The previous prime is 214402231237. The next prime is 214402231319. The reversal of 214402231300 is 3132204412.

214402231300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247595 + ... + 1409005.

It is an arithmetic number, because the mean of its divisors is an integer number (6655016760).

Almost surely, 2^214402231300 is an apocalyptic number.

214402231300 is a gapful number since it is divisible by the number (20) 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 214402231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239580603360).

214402231300 is an abundant number, since it is smaller than the sum of its proper divisors (264758975420).

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

214402231300 is a wasteful number, since it uses less digits than its factorization.

214402231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161821 (or 161814 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 214402231300 its reverse (3132204412), we get a palindrome (217534435712).

The spelling of 214402231300 in words is "two hundred fourteen billion, four hundred two million, two hundred thirty-one thousand, three hundred".