10322202334224 has 320 divisors, whose sum is σ = 30196603008000. Its totient is φ = 3011348121600.

The previous prime is 10322202334193. The next prime is 10322202334243. The reversal of 10322202334224 is 42243320222301.

It is a super-2 number, since 2×10322202334224² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10322202334191 and 10322202334200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 942747502 + ... + 942758450.

It is an arithmetic number, because the mean of its divisors is an integer number (94364384400).

Almost surely, 2^{10322202334224} 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 10322202334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15098301504000).

10322202334224 is an abundant number, since it is smaller than the sum of its proper divisors (19874400673776).

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

10322202334224 is a wasteful number, since it uses less digits than its factorization.

10322202334224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11654 (or 11648 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10322202334224 its reverse (42243320222301), we get a palindrome (52565522556525).

The spelling of 10322202334224 in words is "ten trillion, three hundred twenty-two billion, two hundred two million, three hundred thirty-four thousand, two hundred twenty-four".