214259160 has 128 divisors (see below), whose sum is σ = 686776320. Its totient is φ = 53286912.

The previous prime is 214259159. The next prime is 214259173. The reversal of 214259160 is 61952412.

214259160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 258667 + ... + 259493.

It is an arithmetic number, because the mean of its divisors is an integer number (5365440).

Almost surely, 2^214259160 is an apocalyptic number.

214259160 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 214259160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343388160).

214259160 is an abundant number, since it is smaller than the sum of its proper divisors (472517160).

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

214259160 is a wasteful number, since it uses less digits than its factorization.

214259160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 214259160 is about 14637.5940645996. The cubic root of 214259160 is about 598.3837613078.

The spelling of 214259160 in words is "two hundred fourteen million, two hundred fifty-nine thousand, one hundred sixty".