201189240 has 192 divisors, whose sum is σ = 773323200. Its totient is φ = 44384256.

The previous prime is 201189227. The next prime is 201189251. The reversal of 201189240 is 42981102.

It is a super-2 number, since 2×201189240² = 80954220583555200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71704 + ... + 74456.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^201189240 is an apocalyptic number.

201189240 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 201189240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386661600).

201189240 is an abundant number, since it is smaller than the sum of its proper divisors (572133960).

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

201189240 is a wasteful number, since it uses less digits than its factorization.

201189240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 201189240 is about 14184.1192888385. The cubic root of 201189240 is about 585.9603773681.

The spelling of 201189240 in words is "two hundred one million, one hundred eighty-nine thousand, two hundred forty".