214335800 has 72 divisors (see below), whose sum is σ = 579717360. Its totient is φ = 73483200.

The previous prime is 214335799. The next prime is 214335817. The reversal of 214335800 is 8533412.

It is a self number, because there is not a number n which added to its sum of digits gives 214335800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1136 + ... + 20735.

It is an arithmetic number, because the mean of its divisors is an integer number (8051630).

Almost surely, 2^214335800 is an apocalyptic number.

214335800 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 214335800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289858680).

214335800 is an abundant number, since it is smaller than the sum of its proper divisors (365381560).

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

214335800 is a wasteful number, since it uses less digits than its factorization.

214335800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21901 (or 21885 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 214335800 is about 14640.2117471026. The cubic root of 214335800 is about 598.4550996262.

The spelling of 214335800 in words is "two hundred fourteen million, three hundred thirty-five thousand, eight hundred".