214130240 has 56 divisors (see below), whose sum is σ = 512853432. Its totient is φ = 85155840.

The previous prime is 214130227. The next prime is 214130251. The reversal of 214130240 is 42031412.

It can be written as a sum of positive squares in 4 ways, for example, as 14077504 + 200052736 = 3752^2 + 14144^2 .

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, 56072 + ... + 59768.

It is an arithmetic number, because the mean of its divisors is an integer number (9158097).

Almost surely, 2^214130240 is an apocalyptic number.

214130240 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 214130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256426716).

214130240 is an abundant number, since it is smaller than the sum of its proper divisors (298723192).

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

214130240 is a wasteful number, since it uses less digits than its factorization.

214130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 214130240 is about 14633.1896727952. The cubic root of 214130240 is about 598.2637211469.

Adding to 214130240 its reverse (42031412), we get a palindrome (256161652).

The spelling of 214130240 in words is "two hundred fourteen million, one hundred thirty thousand, two hundred forty".