10022332320 has 1152 divisors, whose sum is σ = 48740590080. Its totient is φ = 1804861440.

The previous prime is 10022332297. The next prime is 10022332357. The reversal of 10022332320 is 2323322001.

Added to its reverse (2323322001) it gives a square (12345654321 = 111111²).

It is a happy number.

10022332320 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 332 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10022332293 and 10022332302.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24504276 + ... + 24504684.

It is an arithmetic number, because the mean of its divisors is an integer number (42309540).

Almost surely, 2^10022332320 is an apocalyptic number.

10022332320 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 10022332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24370295040).

10022332320 is an abundant number, since it is smaller than the sum of its proper divisors (38718257760).

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

10022332320 is a wasteful number, since it uses less digits than its factorization.

10022332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10022332320 its reverse (2323322001), we get a palindrome (12345654321).

The spelling of 10022332320 in words is "ten billion, twenty-two million, three hundred thirty-two thousand, three hundred twenty".