214124032 has 80 divisors (see below), whose sum is σ = 447828480. Its totient is φ = 102187008.

The previous prime is 214123999. The next prime is 214124033. The reversal of 214124032 is 230421412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214124033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1685953 + ... + 1686079.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2^214124032 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 214124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

214124032 is an abundant number, since it is smaller than the sum of its proper divisors (233704448).

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

214124032 is an equidigital number, since it uses as much as digits as its factorization.

214124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 214124032 is about 14632.9775507243. The cubic root of 214124032 is about 598.2579395299.

Adding to 214124032 its reverse (230421412), we get a palindrome (444545444).

The spelling of 214124032 in words is "two hundred fourteen million, one hundred twenty-four thousand, thirty-two".