242242224 has 160 divisors (see below), whose sum is σ = 743952384. Its totient is φ = 66493440.

The previous prime is 242242201. The next prime is 242242237. The reversal of 242242224 is 422242242.

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 = 242242194 and 242242203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086177 + ... + 1086399.

Almost surely, 2^242242224 is an apocalyptic number.

242242224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371976192).

242242224 is an abundant number, since it is smaller than the sum of its proper divisors (501710160).

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

242242224 is a wasteful number, since it uses less digits than its factorization.

242242224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 242242224 is about 15564.1326131590. The cubic root of 242242224 is about 623.3758140348.

Adding to 242242224 its reverse (422242242), we get a palindrome (664484466).

The spelling of 242242224 in words is "two hundred forty-two million, two hundred forty-two thousand, two hundred twenty-four".