9000224 has 48 divisors (see below), whose sum is σ = 18960480. Its totient is φ = 4193280.

The previous prime is 9000223. The next prime is 9000253. The reversal of 9000224 is 4220009.

9000224 = T₃₃₉ + T₃₄₀ + ... + T₄₅₂.

It is not an unprimeable number, because it can be changed into a prime (9000223) 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, 68639 + ... + 68769.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 2^9000224 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 9000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480240).

9000224 is an abundant number, since it is smaller than the sum of its proper divisors (9960256).

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

9000224 is a wasteful number, since it uses less digits than its factorization.

9000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 9000224 is about 3000.0373331010. The cubic root of 9000224 is about 208.0101079900.

The spelling of 9000224 in words is "nine million, two hundred twenty-four", and thus it is an aban number.