214300240 has 160 divisors (see below), whose sum is σ = 654243840. Its totient is φ = 63244800.

The previous prime is 214300231. The next prime is 214300267. The reversal of 214300240 is 42003412.

214300240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116125 + ... + 117955.

It is an arithmetic number, because the mean of its divisors is an integer number (4089024).

Almost surely, 2^214300240 is an apocalyptic number.

214300240 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 214300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327121920).

214300240 is an abundant number, since it is smaller than the sum of its proper divisors (439943600).

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

214300240 is a wasteful number, since it uses less digits than its factorization.

214300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 214300240 is about 14638.9972334173. The cubic root of 214300240 is about 598.4220016551.

Adding to 214300240 its reverse (42003412), we get a palindrome (256303652).

The spelling of 214300240 in words is "two hundred fourteen million, three hundred thousand, two hundred forty".