14216000 has 56 divisors (see below), whose sum is σ = 35225736. Its totient is φ = 5683200.

The previous prime is 14215997. The next prime is 14216021. The reversal of 14216000 is 61241.

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 13601344 = 784^2 + 3688^2 .

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 7 ways as a sum of consecutive naturals, for example, 7112 + ... + 8888.

It is an arithmetic number, because the mean of its divisors is an integer number (629031).

Almost surely, 2^14216000 is an apocalyptic number.

14216000 is a gapful number since it is divisible by the number (10) 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 14216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17612868).

14216000 is an abundant number, since it is smaller than the sum of its proper divisors (21009736).

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

14216000 is an equidigital number, since it uses as much as digits as its factorization.

14216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 14216000 is about 3770.4111181674. The cubic root of 14216000 is about 242.2474076566.

Adding to 14216000 its reverse (61241), we get a palindrome (14277241).

The spelling of 14216000 in words is "fourteen million, two hundred sixteen thousand".