214140312 has 96 divisors (see below), whose sum is σ = 615089280. Its totient is φ = 67184640.

The previous prime is 214140271. The next prime is 214140337. The reversal of 214140312 is 213041412.

214140312 is a `hidden beast` number, since 214 + 140 + 312 = 666.

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, 81288 + ... + 83880.

It is an arithmetic number, because the mean of its divisors is an integer number (6407180).

Almost surely, 2^214140312 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 214140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307544640).

214140312 is an abundant number, since it is smaller than the sum of its proper divisors (400948968).

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

214140312 is a wasteful number, since it uses less digits than its factorization.

214140312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2666 counting only the distinct ones).

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

The square root of 214140312 is about 14633.5338179129. The cubic root of 214140312 is about 598.2731011356.

Adding to 214140312 its reverse (213041412), we get a palindrome (427181724).

It can be divided in two parts, 2141403 and 12, that added together give a triangular number (2141415 = T₂₀₆₉).

The spelling of 214140312 in words is "two hundred fourteen million, one hundred forty thousand, three hundred twelve".