214002140 has 48 divisors (see below), whose sum is σ = 494895744. Its totient is φ = 77083200.

The previous prime is 214002121. The next prime is 214002157. The reversal of 214002140 is 41200412.

214002140 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18995 + ... + 28085.

It is an arithmetic number, because the mean of its divisors is an integer number (10310328).

Almost surely, 2^214002140 is an apocalyptic number.

214002140 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 214002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247447872).

214002140 is an abundant number, since it is smaller than the sum of its proper divisors (280893604).

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

214002140 is a wasteful number, since it uses less digits than its factorization.

214002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 214002140 is about 14628.8119818391. The cubic root of 214002140 is about 598.1443967735.

Adding to 214002140 its reverse (41200412), we get a palindrome (255202552).

The spelling of 214002140 in words is "two hundred fourteen million, two thousand, one hundred forty".