242224220032 has 32 divisors (see below), whose sum is σ = 486027725400. Its totient is φ = 120240791040.

The previous prime is 242224220011. The next prime is 242224220083. The reversal of 242224220032 is 230022422242.

242224220032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×242224220032² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242224219979 and 242224220006.

It is a congruent number.

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, 6789319 + ... + 6824902.

Almost surely, 2^242224220032 is an apocalyptic number.

It is an amenable number.

242224220032 is an abundant number, since it is smaller than the sum of its proper divisors (243803505368).

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

242224220032 is a wasteful number, since it uses less digits than its factorization.

242224220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13614374 (or 13614362 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 242224220032 its reverse (230022422242), we get a palindrome (472246642274).

The spelling of 242224220032 in words is "two hundred forty-two billion, two hundred twenty-four million, two hundred twenty thousand, thirty-two".