214214140 has 48 divisors (see below), whose sum is σ = 516870144. Its totient is φ = 73051200.

The previous prime is 214214137. The next prime is 214214141. The reversal of 214214140 is 41412412.

214214140 is digitally balanced in base 3, 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 (214214141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22735 + ... + 30745.

It is an arithmetic number, because the mean of its divisors is an integer number (10768128).

Almost surely, 2^214214140 is an apocalyptic number.

214214140 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 214214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258435072).

214214140 is an abundant number, since it is smaller than the sum of its proper divisors (302656004).

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

214214140 is a wasteful number, since it uses less digits than its factorization.

214214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 214214140 is about 14636.0561627783. The cubic root of 214214140 is about 598.3418476988.

Adding to 214214140 its reverse (41412412), we get a palindrome (255626552).

The spelling of 214214140 in words is "two hundred fourteen million, two hundred fourteen thousand, one hundred forty".