10222320 has 80 divisors (see below), whose sum is σ = 31997952. Its totient is φ = 2699520.

The previous prime is 10222313. The next prime is 10222369. The reversal of 10222320 is 2322201.

10222320 = T₄₆₅ + T₄₆₆ + ... + T₅₄₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10222296 and 10222305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45729 + ... + 45951.

Almost surely, 2^10222320 is an apocalyptic number.

10222320 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 10222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998976).

10222320 is an abundant number, since it is smaller than the sum of its proper divisors (21775632).

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

10222320 is a wasteful number, since it uses less digits than its factorization.

10222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10222320 is about 3197.2363065623. The cubic root of 10222320 is about 217.0283610210.

Adding to 10222320 its reverse (2322201), we get a palindrome (12544521).

It can be divided in two parts, 102 and 22320, that added together give a palindrome (22422).

The spelling of 10222320 in words is "ten million, two hundred twenty-two thousand, three hundred twenty".