214113240 has 256 divisors, whose sum is σ = 793152000. Its totient is φ = 50941440.

The previous prime is 214113239. The next prime is 214113259. The reversal of 214113240 is 42311412.

214113240 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795826 + ... + 796094.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^214113240 is an apocalyptic number.

214113240 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 214113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396576000).

214113240 is an abundant number, since it is smaller than the sum of its proper divisors (579038760).

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

214113240 is a wasteful number, since it uses less digits than its factorization.

214113240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214113240 is about 14632.6087899595. The cubic root of 214113240 is about 598.2478884891.

Adding to 214113240 its reverse (42311412), we get a palindrome (256424652).

The spelling of 214113240 in words is "two hundred fourteen million, one hundred thirteen thousand, two hundred forty".