10224320 has 56 divisors (see below), whose sum is σ = 24688800. Its totient is φ = 4032512.

The previous prime is 10224317. The next prime is 10224323. The reversal of 10224320 is 2342201.

It is an interprime number because it is at equal distance from previous prime (10224317) and next prime (10224323).

It is a junction number, because it is equal to n+sod(n) for n = 10224295 and 10224304.

It is not an unprimeable number, because it can be changed into a prime (10224323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28301 + ... + 28659.

Almost surely, 2^10224320 is an apocalyptic number.

10224320 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 10224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12344400).

10224320 is an abundant number, since it is smaller than the sum of its proper divisors (14464480).

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

10224320 is an equidigital number, since it uses as much as digits as its factorization.

10224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10224320 is about 3197.5490613906. The cubic root of 10224320 is about 217.0425139861.

Adding to 10224320 its reverse (2342201), we get a palindrome (12566521).

The spelling of 10224320 in words is "ten million, two hundred twenty-four thousand, three hundred twenty".