214231800 has 96 divisors (see below), whose sum is σ = 667033200. Its totient is φ = 56878080.

The previous prime is 214231799. The next prime is 214231877. The reversal of 214231800 is 8132412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165556 + ... + 166844.

Almost surely, 2^214231800 is an apocalyptic number.

214231800 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 214231800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333516600).

214231800 is an abundant number, since it is smaller than the sum of its proper divisors (452801400).

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

214231800 is a wasteful number, since it uses less digits than its factorization.

214231800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 214231800 is about 14636.6594549439. The cubic root of 214231800 is about 598.3582898544.

The spelling of 214231800 in words is "two hundred fourteen million, two hundred thirty-one thousand, eight hundred".