10224032 has 48 divisors (see below), whose sum is σ = 24780672. Its totient is φ = 4043520.

The previous prime is 10224013. The next prime is 10224041. The reversal of 10224032 is 23042201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10223998 and 10224016.

It is an unprimeable number.

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, 1157 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (516264).

Almost surely, 2^10224032 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 10224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390336).

10224032 is an abundant number, since it is smaller than the sum of its proper divisors (14556640).

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

10224032 is a wasteful number, since it uses less digits than its factorization.

10224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3533 counting only the distinct ones).

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

The square root of 10224032 is about 3197.5040265807. The cubic root of 10224032 is about 217.0404760729.

Adding to 10224032 its reverse (23042201), we get a palindrome (33266233).

The spelling of 10224032 in words is "ten million, two hundred twenty-four thousand, thirty-two".