214302144 has 112 divisors (see below), whose sum is σ = 651345408. Its totient is φ = 60914688.

The previous prime is 214302107. The next prime is 214302157. The reversal of 214302144 is 441203412.

214302144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 214302144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425797 + ... + 426299.

It is an arithmetic number, because the mean of its divisors is an integer number (5815584).

Almost surely, 2^214302144 is an apocalyptic number.

214302144 is a gapful number since it is divisible by the number (24) 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 214302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325672704).

214302144 is an abundant number, since it is smaller than the sum of its proper divisors (437043264).

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

214302144 is a wasteful number, since it uses less digits than its factorization.

214302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 214302144 is about 14639.0622650496. The cubic root of 214302144 is about 598.4237739227.

Adding to 214302144 its reverse (441203412), we get a palindrome (655505556).

The spelling of 214302144 in words is "two hundred fourteen million, three hundred two thousand, one hundred forty-four".