2214432 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 668160.

The previous prime is 2214383. The next prime is 2214473. The reversal of 2214432 is 2344122.

2214432 is a `hidden beast` number, since 221 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9388 + ... + 9620.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^2214432 is an apocalyptic number.

2214432 is a gapful number since it is divisible by the number (22) 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 2214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2214432 is an abundant number, since it is smaller than the sum of its proper divisors (4861728).

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

2214432 is a wasteful number, since it uses less digits than its factorization.

2214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2214432 is about 1488.0967710468. The cubic root of 2214432 is about 130.3429210588.

Adding to 2214432 its reverse (2344122), we get a palindrome (4558554).

It can be divided in two parts, 221443 and 2, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 2214432 in words is "two million, two hundred fourteen thousand, four hundred thirty-two".