214214132 has 96 divisors (see below), whose sum is σ = 452390400. Its totient is φ = 87696000.

The previous prime is 214214083. The next prime is 214214137. The reversal of 214214132 is 231412412.

214214132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214214137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2120882 + ... + 2120982.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2^214214132 is an apocalyptic number.

214214132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214214132 is an abundant number, since it is smaller than the sum of its proper divisors (238176268).

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

214214132 is a wasteful number, since it uses less digits than its factorization.

214214132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 214214132 is about 14636.0558894806. The cubic root of 214214132 is about 598.3418402503.

Adding to 214214132 its reverse (231412412), we get a palindrome (445626544).

The spelling of 214214132 in words is "two hundred fourteen million, two hundred fourteen thousand, one hundred thirty-two".