242232144 has 80 divisors (see below), whose sum is σ = 780188160. Its totient is φ = 62916480.

The previous prime is 242232127. The next prime is 242232149. The reversal of 242232144 is 441232242.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242232149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29074 + ... + 36465.

It is an arithmetic number, because the mean of its divisors is an integer number (9752352).

Almost surely, 2^242232144 is an apocalyptic number.

242232144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242232144 is an abundant number, since it is smaller than the sum of its proper divisors (537956016).

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

242232144 is a wasteful number, since it uses less digits than its factorization.

242232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65568 (or 65562 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 242232144 is about 15563.8087883397. The cubic root of 242232144 is about 623.3671674340.

Adding to 242232144 its reverse (441232242), we get a palindrome (683464386).

The spelling of 242232144 in words is "two hundred forty-two million, two hundred thirty-two thousand, one hundred forty-four".