201771240 has 64 divisors (see below), whose sum is σ = 660346560. Its totient is φ = 48913920.

The previous prime is 201771239. The next prime is 201771247. The reversal of 201771240 is 42177102.

It is a super-2 number, since 2×201771240² = 81423266582275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201771240.

It is not an unprimeable number, because it can be changed into a prime (201771247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75109 + ... + 77748.

It is an arithmetic number, because the mean of its divisors is an integer number (10317915).

Almost surely, 2^201771240 is an apocalyptic number.

201771240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201771240 is an abundant number, since it is smaller than the sum of its proper divisors (458575320).

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

201771240 is a wasteful number, since it uses less digits than its factorization.

201771240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152882 (or 152878 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 201771240 is about 14204.6203750751. The cubic root of 201771240 is about 586.5248552437.

The spelling of 201771240 in words is "two hundred one million, seven hundred seventy-one thousand, two hundred forty".