201152240 has 80 divisors (see below), whose sum is σ = 500860800. Its totient is φ = 74900736.

The previous prime is 201152179. The next prime is 201152251. The reversal of 201152240 is 42251102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88559 + ... + 90801.

It is an arithmetic number, because the mean of its divisors is an integer number (6260760).

Almost surely, 2^201152240 is an apocalyptic number.

201152240 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 201152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250430400).

201152240 is an abundant number, since it is smaller than the sum of its proper divisors (299708560).

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

201152240 is a wasteful number, since it uses less digits than its factorization.

201152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 201152240 is about 14182.8149533159. The cubic root of 201152240 is about 585.9244545339.

The spelling of 201152240 in words is "two hundred one million, one hundred fifty-two thousand, two hundred forty".