214120314 has 64 divisors (see below), whose sum is σ = 485671680. Its totient is φ = 69914880.

The previous prime is 214120307. The next prime is 214120331. The reversal of 214120314 is 413021412.

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

It is a Curzon 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, 761854 + ... + 762134.

It is an arithmetic number, because the mean of its divisors is an integer number (7588620).

Almost surely, 2^214120314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214120314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242835840).

214120314 is an abundant number, since it is smaller than the sum of its proper divisors (271551366).

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

214120314 is a wasteful number, since it uses less digits than its factorization.

214120314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

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

The square root of 214120314 is about 14632.8505083596. The cubic root of 214120314 is about 598.2544768392.

Adding to 214120314 its reverse (413021412), we get a palindrome (627141726).

The spelling of 214120314 in words is "two hundred fourteen million, one hundred twenty thousand, three hundred fourteen".