242262288 has 60 divisors (see below), whose sum is σ = 701389260. Its totient is φ = 77968128.

The previous prime is 242262281. The next prime is 242262323. The reversal of 242262288 is 882262242.

242262288 is a `hidden beast` number, since 2 + 4 + 22 + 622 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 179345664 + 62916624 = 13392^2 + 7932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242262281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24831 + ... + 33182.

It is an arithmetic number, because the mean of its divisors is an integer number (11689821).

Almost surely, 2^242262288 is an apocalyptic number.

It is an amenable number.

242262288 is an abundant number, since it is smaller than the sum of its proper divisors (459126972).

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

242262288 is a wasteful number, since it uses less digits than its factorization.

242262288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58056 (or 58047 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 242262288 is about 15564.7771587003. Note that the first 3 decimals coincide. The cubic root of 242262288 is about 623.3930241737.

The spelling of 242262288 in words is "two hundred forty-two million, two hundred sixty-two thousand, two hundred eighty-eight".