214200 has 144 divisors (see below), whose sum is σ = 870480. Its totient is φ = 46080.

The previous prime is 214189. The next prime is 214211. The reversal of 214200 is 2412.

214200 = 10³ + 11³ + ... + 30³.

It is an interprime number because it is at equal distance from previous prime (214189) and next prime (214211).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12592 + ... + 12608.

It is an arithmetic number, because the mean of its divisors is an integer number (6045).

2²¹⁴²⁰⁰ is an apocalyptic number.

214200 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 214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435240).

214200 is an abundant number, since it is smaller than the sum of its proper divisors (656280).

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

214200 is a wasteful number, since it uses less digits than its factorization.

214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 214200 is about 462.8174586162. The cubic root of 214200 is about 59.8328682150.

Adding to 214200 its reverse (2412), we get a palindrome (216612).

It can be divided in two parts, 214 and 200, that added together give a palindrome (414).

The spelling of 214200 in words is "two hundred fourteen thousand, two hundred", and thus it is an iban number.