214040288 has 144 divisors (see below), whose sum is σ = 542959200. Its totient is φ = 81269760.

The previous prime is 214040249. The next prime is 214040293. The reversal of 214040288 is 882040412.

It is a self number, because there is not a number n which added to its sum of digits gives 214040288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1436438 + ... + 1436586.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2^214040288 is an apocalyptic number.

214040288 is a gapful number since it is divisible by the number (28) 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 214040288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271479600).

214040288 is an abundant number, since it is smaller than the sum of its proper divisors (328918912).

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

214040288 is a wasteful number, since it uses less digits than its factorization.

214040288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 214040288 is about 14630.1157890155. The cubic root of 214040288 is about 598.1799363818.

The spelling of 214040288 in words is "two hundred fourteen million, forty thousand, two hundred eighty-eight".