214300032 has 64 divisors (see below), whose sum is σ = 571954800. Its totient is φ = 71092224.

The previous prime is 214300019. The next prime is 214300033. The reversal of 214300032 is 230003412.

214300032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 214299984 and 214300020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214300033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86718 + ... + 89154.

Almost surely, 2^214300032 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 214300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285977400).

214300032 is an abundant number, since it is smaller than the sum of its proper divisors (357654768).

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

214300032 is a wasteful number, since it uses less digits than its factorization.

214300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 214300032 is about 14638.9901291039. The cubic root of 214300032 is about 598.4218080454.

Adding to 214300032 its reverse (230003412), we get a palindrome (444303444).

The spelling of 214300032 in words is "two hundred fourteen million, three hundred thousand, thirty-two".