201114240 has 256 divisors, whose sum is σ = 697680000. Its totient is φ = 49102848.

The previous prime is 201114223. The next prime is 201114253. The reversal of 201114240 is 42411102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349686 + ... + 1349834.

Almost surely, 2^201114240 is an apocalyptic number.

201114240 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 201114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348840000).

201114240 is an abundant number, since it is smaller than the sum of its proper divisors (496565760).

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

201114240 is a wasteful number, since it uses less digits than its factorization.

201114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 201114240 is about 14181.4752406088. The cubic root of 201114240 is about 585.8875562266.

Adding to 201114240 its reverse (42411102), we get a palindrome (243525342).

The spelling of 201114240 in words is "two hundred one million, one hundred fourteen thousand, two hundred forty".