214213140 has 96 divisors (see below), whose sum is σ = 689472000. Its totient is φ = 55149696.

The previous prime is 214213081. The next prime is 214213157. The reversal of 214213140 is 41312412.

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 31 ways as a sum of consecutive naturals, for example, 8821 + ... + 22499.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^214213140 is an apocalyptic number.

214213140 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 214213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736000).

214213140 is an abundant number, since it is smaller than the sum of its proper divisors (475258860).

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

214213140 is a wasteful number, since it uses less digits than its factorization.

214213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13726 (or 13718 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214213140 is about 14636.0220005301. The cubic root of 214213140 is about 598.3409166324.

Adding to 214213140 its reverse (41312412), we get a palindrome (255525552).

The spelling of 214213140 in words is "two hundred fourteen million, two hundred thirteen thousand, one hundred forty".