10322224000 has 256 divisors, whose sum is σ = 28229160960. Its totient is φ = 3722496000.

The previous prime is 10322223997. The next prime is 10322224009. The reversal of 10322224000 is 42222301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322224009) 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, 39247869 + ... + 39248131.

It is an arithmetic number, because the mean of its divisors is an integer number (110270160).

Almost surely, 2^10322224000 is an apocalyptic number.

10322224000 is a gapful number since it is divisible by the number (10) 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 10322224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114580480).

10322224000 is an abundant number, since it is smaller than the sum of its proper divisors (17906936960).

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

10322224000 is a wasteful number, since it uses less digits than its factorization.

10322224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10322224000 its reverse (42222301), we get a palindrome (10364446301).

The spelling of 10322224000 in words is "ten billion, three hundred twenty-two million, two hundred twenty-four thousand".