214055240 has 64 divisors (see below), whose sum is σ = 557452800. Its totient is φ = 72453888.

The previous prime is 214055209. The next prime is 214055243. The reversal of 214055240 is 42550412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214055243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17282 + ... + 26958.

It is an arithmetic number, because the mean of its divisors is an integer number (8710200).

Almost surely, 2^214055240 is an apocalyptic number.

214055240 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 214055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278726400).

214055240 is an abundant number, since it is smaller than the sum of its proper divisors (343397560).

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

214055240 is a wasteful number, since it uses less digits than its factorization.

214055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9770 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 214055240 is about 14630.6267808321. The cubic root of 214055240 is about 598.1938648782.

The spelling of 214055240 in words is "two hundred fourteen million, fifty-five thousand, two hundred forty".