214200018 has 64 divisors (see below), whose sum is σ = 494592000. Its totient is φ = 68642640.

The previous prime is 214200011. The next prime is 214200029. The reversal of 214200018 is 810002412.

214200018 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214200018² = 91763295422400648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214200011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332805 + ... + 333447.

It is an arithmetic number, because the mean of its divisors is an integer number (7728000).

Almost surely, 2^214200018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214200018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247296000).

214200018 is an abundant number, since it is smaller than the sum of its proper divisors (280391982).

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

214200018 is a wasteful number, since it uses less digits than its factorization.

214200018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

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

The square root of 214200018 is about 14635.5737161206. The cubic root of 214200018 is about 598.3286989103.

The spelling of 214200018 in words is "two hundred fourteen million, two hundred thousand, eighteen".