4222034302224 has 160 divisors (see below), whose sum is σ = 11635976856960. Its totient is φ = 1315367424000.

The previous prime is 4222034302183. The next prime is 4222034302229.

4222034302224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4222034302191 and 4222034302200.

It is not an unprimeable number, because it can be changed into a prime (4222034302229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25801914 + ... + 25965030.

It is an arithmetic number, because the mean of its divisors is an integer number (72724855356).

Almost surely, 2^{4222034302224} 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 4222034302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817988428480).

4222034302224 is an abundant number, since it is smaller than the sum of its proper divisors (7413942554736).

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

4222034302224 is a wasteful number, since it uses less digits than its factorization.

4222034302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163529 (or 163523 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The spelling of 4222034302224 in words is "four trillion, two hundred twenty-two billion, thirty-four million, three hundred two thousand, two hundred twenty-four".