224370441 has 9 divisors (see below), whose sum is σ = 324155559. Its totient is φ = 149550336.

The previous prime is 224370439. The next prime is 224370463. The reversal of 224370441 is 144073422.

The square root of 224370441 is 14979.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78057225 + 146313216 = 8835^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 224370441 - 2¹ = 224370439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224370541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42441 + ... + 47433.

Almost surely, 2^224370441 is an apocalyptic number.

224370441 is the 14979-th square number.

224370441 is the 7490-th centered octagonal number.

It is an amenable number.

224370441 is a deficient number, since it is larger than the sum of its proper divisors (99785118).

224370441 is an frugal number, since it uses more digits than its factorization.

224370441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9992 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The cubic root of 224370441 is about 607.6523948318.

The spelling of 224370441 in words is "two hundred twenty-four million, three hundred seventy thousand, four hundred forty-one".