201142240 has 48 divisors (see below), whose sum is σ = 511757568. Its totient is φ = 74267136.

The previous prime is 201142171. The next prime is 201142243. The reversal of 201142240 is 42241102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201142243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46272 + ... + 50431.

It is an arithmetic number, because the mean of its divisors is an integer number (10661616).

Almost surely, 2^201142240 is an apocalyptic number.

201142240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201142240 is an abundant number, since it is smaller than the sum of its proper divisors (310615328).

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

201142240 is a wasteful number, since it uses less digits than its factorization.

201142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96731 (or 96723 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 201142240 is about 14182.4624096100. The cubic root of 201142240 is about 585.9147449036.

Adding to 201142240 its reverse (42241102), we get a palindrome (243383342).

The spelling of 201142240 in words is "two hundred one million, one hundred forty-two thousand, two hundred forty".