214119180 has 288 divisors, whose sum is σ = 764164800. Its totient is φ = 49674240.

The previous prime is 214119161. The next prime is 214119187. The reversal of 214119180 is 81911412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (214119187) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1894804 + ... + 1894916.

It is an arithmetic number, because the mean of its divisors is an integer number (2653350).

Almost surely, 2^214119180 is an apocalyptic number.

214119180 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 214119180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382082400).

214119180 is an abundant number, since it is smaller than the sum of its proper divisors (550045620).

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

214119180 is a wasteful number, since it uses less digits than its factorization.

214119180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 214119180 is about 14632.8117598772. The cubic root of 214119180 is about 598.2534207013.

It can be divided in two parts, 2141 and 19180, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 214119180 in words is "two hundred fourteen million, one hundred nineteen thousand, one hundred eighty".