214232000 has 112 divisors (see below), whose sum is σ = 540471360. Its totient is φ = 84096000.

The previous prime is 214231999. The next prime is 214232017. The reversal of 214232000 is 232412.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 487781 + ... + 488219.

Almost surely, 2^214232000 is an apocalyptic number.

214232000 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 214232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270235680).

214232000 is an abundant number, since it is smaller than the sum of its proper divisors (326239360).

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

214232000 is an equidigital number, since it uses as much as digits as its factorization.

214232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 214232000 is about 14636.6662871024. Note that the first 3 decimals coincide. The cubic root of 214232000 is about 598.3584760571.

Adding to 214232000 its reverse (232412), we get a palindrome (214464412).

The spelling of 214232000 in words is "two hundred fourteen million, two hundred thirty-two thousand".