242532224 has 64 divisors (see below), whose sum is σ = 529832880. Its totient is φ = 109670400.

The previous prime is 242532223. The next prime is 242532233. The reversal of 242532224 is 422235242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 242532193 and 242532202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242532223) 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, 395342 + ... + 395954.

Almost surely, 2^242532224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264916440).

242532224 is an abundant number, since it is smaller than the sum of its proper divisors (287300656).

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

242532224 is a wasteful number, since it uses less digits than its factorization.

242532224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 907 counting only the distinct ones).

The product of its digits is 7680, while the sum is 26.

The square root of 242532224 is about 15573.4461183131. The cubic root of 242532224 is about 623.6244727137.

Adding to 242532224 its reverse (422235242), we get a palindrome (664767466).

The spelling of 242532224 in words is "two hundred forty-two million, five hundred thirty-two thousand, two hundred twenty-four".