242224224 has 96 divisors (see below), whose sum is σ = 723873024. Its totient is φ = 70202880.

The previous prime is 242224207. The next prime is 242224243. The reversal of 242224224 is 422422242.

It is a tau number, because it is divible by the number of its divisors (96).

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 zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 242224194 and 242224203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19302 + ... + 29274.

It is an arithmetic number, because the mean of its divisors is an integer number (7540344).

Almost surely, 2^242224224 is an apocalyptic number.

242224224 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 242224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361936512).

242224224 is an abundant number, since it is smaller than the sum of its proper divisors (481648800).

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

242224224 is a wasteful number, since it uses less digits than its factorization.

242224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020 (or 10012 counting only the distinct ones).

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

The square root of 242224224 is about 15563.5543498264. The cubic root of 242224224 is about 623.3603735080.

Adding to 242224224 its reverse (422422242), we get a palindrome (664646466).

The spelling of 242224224 in words is "two hundred forty-two million, two hundred twenty-four thousand, two hundred twenty-four".