4222032302224 has 60 divisors (see below), whose sum is σ = 9003715523068. Its totient is φ = 1916486795520.

The previous prime is 4222032302209. The next prime is 4222032302233.

4222032302224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4069370183824 + 152662118400 = 2017268^2 + 390720^2 .

It is a super-2 number, since 2×4222032302224² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4222032302192 and 4222032302201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68499 + ... + 2906674.

Almost surely, 2^{4222032302224} is an apocalyptic number.

4222032302224 is a gapful number since it is divisible by the number (44) 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 4222032302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501857761534).

4222032302224 is an abundant number, since it is smaller than the sum of its proper divisors (4781683220844).

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

4222032302224 is a wasteful number, since it uses less digits than its factorization.

4222032302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975936 (or 2975919 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The spelling of 4222032302224 in words is "four trillion, two hundred twenty-two billion, thirty-two million, three hundred two thousand, two hundred twenty-four".