214168180 has 48 divisors (see below), whose sum is σ = 476380800. Its totient is φ = 80707968.

The previous prime is 214168151. The next prime is 214168183. The reversal of 214168180 is 81861412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214168183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27346 + ... + 34294.

It is an arithmetic number, because the mean of its divisors is an integer number (9924600).

Almost surely, 2^214168180 is an apocalyptic number.

214168180 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 214168180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238190400).

214168180 is an abundant number, since it is smaller than the sum of its proper divisors (262212620).

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

214168180 is a wasteful number, since it uses less digits than its factorization.

214168180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 214168180 is about 14634.4859834570. The cubic root of 214168180 is about 598.2990528919.

The spelling of 214168180 in words is "two hundred fourteen million, one hundred sixty-eight thousand, one hundred eighty".