242137224 has 72 divisors (see below), whose sum is σ = 762866910. Its totient is φ = 69181056.

The previous prime is 242137223. The next prime is 242137229. The reversal of 242137224 is 422731242.

242137224 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 only one way, i.e., 181764324 + 60372900 = 13482^2 + 7770^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (242137223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30789 + ... + 37844.

Almost surely, 2^242137224 is an apocalyptic number.

242137224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242137224 is an abundant number, since it is smaller than the sum of its proper divisors (520729686).

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

242137224 is a wasteful number, since it uses less digits than its factorization.

242137224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68659 (or 68645 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 242137224 is about 15560.7591074472. The cubic root of 242137224 is about 623.2857335102.

Adding to 242137224 its reverse (422731242), we get a palindrome (664868466).

The spelling of 242137224 in words is "two hundred forty-two million, one hundred thirty-seven thousand, two hundred twenty-four".