10224004 has 48 divisors (see below), whose sum is σ = 22159872. Its totient is φ = 4027392.

The previous prime is 10223989. The next prime is 10224007. The reversal of 10224004 is 40042201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224007) 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 15 ways as a sum of consecutive naturals, for example, 22144 + ... + 22600.

It is an arithmetic number, because the mean of its divisors is an integer number (461664).

Almost surely, 2^10224004 is an apocalyptic number.

10224004 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 10224004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11079936).

10224004 is an abundant number, since it is smaller than the sum of its proper divisors (11935868).

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

10224004 is a wasteful number, since it uses less digits than its factorization.

10224004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 10224004 is about 3197.4996481626. The cubic root of 10224004 is about 217.0402779404.

Adding to 10224004 its reverse (40042201), we get a palindrome (50266205).

The spelling of 10224004 in words is "ten million, two hundred twenty-four thousand, four".