214114140 has 72 divisors (see below), whose sum is σ = 663324480. Its totient is φ = 55880064.

The previous prime is 214114139. The next prime is 214114193. The reversal of 214114140 is 41411412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4195 + ... + 21114.

It is an arithmetic number, because the mean of its divisors is an integer number (9212840).

Almost surely, 2^214114140 is an apocalyptic number.

214114140 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 214114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331662240).

214114140 is an abundant number, since it is smaller than the sum of its proper divisors (449210340).

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

214114140 is a wasteful number, since it uses less digits than its factorization.

214114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25371 (or 25366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 214114140 is about 14632.6395431583. The cubic root of 214114140 is about 598.2487267097.

Adding to 214114140 its reverse (41411412), we get a palindrome (255525552).

The spelling of 214114140 in words is "two hundred fourteen million, one hundred fourteen thousand, one hundred forty".