214401144 has 32 divisors (see below), whose sum is σ = 567533520. Its totient is φ = 67262976.

The previous prime is 214401133. The next prime is 214401151. The reversal of 214401144 is 441104412.

214401144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 214401144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262339 + ... + 263154.

Almost surely, 2^214401144 is an apocalyptic number.

214401144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214401144 is an abundant number, since it is smaller than the sum of its proper divisors (353132376).

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

214401144 is a wasteful number, since it uses less digits than its factorization.

214401144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525519 (or 525515 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 214401144 is about 14642.4432387495. The cubic root of 214401144 is about 598.5159099322.

Adding to 214401144 its reverse (441104412), we get a palindrome (655505556).

The spelling of 214401144 in words is "two hundred fourteen million, four hundred one thousand, one hundred forty-four".