214180200 has 336 divisors, whose sum is σ = 811159020. Its totient is φ = 52254720.

The previous prime is 214180189. The next prime is 214180223. The reversal of 214180200 is 2081412.

It can be written as a sum of positive squares in 6 ways, for example, as 3175524 + 211004676 = 1782^2 + 14526^2 .

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

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1895344 + ... + 1895456.

Almost surely, 2^214180200 is an apocalyptic number.

214180200 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 214180200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405579510).

214180200 is an abundant number, since it is smaller than the sum of its proper divisors (596978820).

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

214180200 is a wasteful number, since it uses less digits than its factorization.

214180200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 214180200 is about 14634.8966514971. The cubic root of 214180200 is about 598.3102456846.

The spelling of 214180200 in words is "two hundred fourteen million, one hundred eighty thousand, two hundred".