10441224 has 96 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3369600.

The previous prime is 10441147. The next prime is 10441231. The reversal of 10441224 is 42214401.

10441224 = T₁₄₁ + T₁₄₂ + ... + T₄₀₂.

10441224 is a `hidden beast` number, since 1 + 0 + 441 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10441197 and 10441206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79639 + ... + 79769.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 2^10441224 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 10441224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

10441224 is an abundant number, since it is smaller than the sum of its proper divisors (19829016).

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

10441224 is a wasteful number, since it uses less digits than its factorization.

10441224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10441224 is about 3231.2882879743. The cubic root of 10441224 is about 218.5666039469.

Adding to 10441224 its reverse (42214401), we get a palindrome (52655625).

It can be divided in two parts, 104 and 41224, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 10441224 in words is "ten million, four hundred forty-one thousand, two hundred twenty-four".