242332224 has 28 divisors (see below), whose sum is σ = 641171184. Its totient is φ = 80777344.

The previous prime is 242332193. The next prime is 242332241. The reversal of 242332224 is 422233242.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 242332194 and 242332203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 630882 + ... + 631265.

Almost surely, 2^242332224 is an apocalyptic number.

242332224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242332224 is an abundant number, since it is smaller than the sum of its proper divisors (398838960).

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

242332224 is a wasteful number, since it uses less digits than its factorization.

242332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262162 (or 1262152 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 242332224 is about 15567.0236076136. The cubic root of 242332224 is about 623.4530051973.

Adding to 242332224 its reverse (422233242), we get a palindrome (664565466).

It can be divided in two parts, 242332 and 224, that added together give a triangular number (242556 = T₆₉₆).

The spelling of 242332224 in words is "two hundred forty-two million, three hundred thirty-two thousand, two hundred twenty-four".