10241224 has 32 divisors (see below), whose sum is σ = 22461120. Its totient is φ = 4286016.

The previous prime is 10241219. The next prime is 10241227. The reversal of 10241224 is 42214201.

It is a junction number, because it is equal to n+sod(n) for n = 10241198 and 10241207.

It is not an unprimeable number, because it can be changed into a prime (10241227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 4534.

It is an arithmetic number, because the mean of its divisors is an integer number (701910).

Almost surely, 2^10241224 is an apocalyptic number.

10241224 is a gapful number since it is divisible by the number (14) 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 10241224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11230560).

10241224 is an abundant number, since it is smaller than the sum of its proper divisors (12219896).

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

10241224 is a wasteful number, since it uses less digits than its factorization.

10241224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 10241224 is about 3200.1912442853. The cubic root of 10241224 is about 217.1620611890.

Adding to 10241224 its reverse (42214201), we get a palindrome (52455425).

The spelling of 10241224 in words is "ten million, two hundred forty-one thousand, two hundred twenty-four".