4222004002224 has 160 divisors (see below), whose sum is σ = 11145992325120. Its totient is φ = 1376829696000.

The previous prime is 4222004002201. The next prime is 4222004002231.

4222004002224 is nontrivially palindromic in base 10.

4222004002224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4222004002224³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4222004002194 and 4222004002203.

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, 1023018049 + ... + 1023022175.

It is an arithmetic number, because the mean of its divisors is an integer number (69662452032).

Almost surely, 2^{4222004002224} 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 4222004002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572996162560).

4222004002224 is an abundant number, since it is smaller than the sum of its proper divisors (6923988322896).

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

4222004002224 is a wasteful number, since it uses less digits than its factorization.

4222004002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6693 counting only the distinct ones).

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

The spelling of 4222004002224 in words is "four trillion, two hundred twenty-two billion, four million, two thousand, two hundred twenty-four".