10000224 has 72 divisors (see below), whose sum is σ = 30637152. Its totient is φ = 3075840.

The previous prime is 10000223. The next prime is 10000229. The reversal of 10000224 is 42200001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2409 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (425516).

Almost surely, 2^10000224 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 10000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15318576).

10000224 is an abundant number, since it is smaller than the sum of its proper divisors (20636928).

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

10000224 is a wasteful number, since it uses less digits than its factorization.

10000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10000224 is about 3162.3130774798. The cubic root of 10000224 is about 215.4450776357.

Adding to 10000224 its reverse (42200001), we get a palindrome (52200225).

The spelling of 10000224 in words is "ten million, two hundred twenty-four", and thus it is an aban number.