214234440 has 256 divisors, whose sum is σ = 773521920. Its totient is φ = 46448640.

The previous prime is 214234417. The next prime is 214234441. The reversal of 214234440 is 44432412.

It is a happy number.

214234440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214234440² = 91792790564227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214234440.

It is not an unprimeable number, because it can be changed into a prime (214234441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1895824 + ... + 1895936.

It is an arithmetic number, because the mean of its divisors is an integer number (3021570).

Almost surely, 2^214234440 is an apocalyptic number.

214234440 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 214234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386760960).

214234440 is an abundant number, since it is smaller than the sum of its proper divisors (559287480).

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

214234440 is a wasteful number, since it uses less digits than its factorization.

214234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 214234440 is about 14636.7496391788. The cubic root of 214234440 is about 598.3607477208.

Adding to 214234440 its reverse (44432412), we get a palindrome (258666852).

The spelling of 214234440 in words is "two hundred fourteen million, two hundred thirty-four thousand, four hundred forty".