242257140 has 108 divisors (see below), whose sum is σ = 780783276. Its totient is φ = 60788736.

The previous prime is 242257139. The next prime is 242257153. The reversal of 242257140 is 41752242.

242257140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19044 + 242238096 = 138^2 + 15564^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49692 + ... + 54348.

Almost surely, 2^242257140 is an apocalyptic number.

242257140 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 242257140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390391638).

242257140 is an abundant number, since it is smaller than the sum of its proper divisors (538526136).

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

242257140 is a wasteful number, since it uses less digits than its factorization.

242257140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 242257140 is about 15564.6117844294. The cubic root of 242257140 is about 623.3886085050.

The spelling of 242257140 in words is "two hundred forty-two million, two hundred fifty-seven thousand, one hundred forty".