224105352241 has 32 divisors (see below), whose sum is σ = 260295598080. Its totient is φ = 191734646400.

The previous prime is 224105352169. The next prime is 224105352253. The reversal of 224105352241 is 142253501422.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 224105352241 - 2¹⁷ = 224105221169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (224105362241) 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 31 ways as a sum of consecutive naturals, for example, 353686 + ... + 757168.

It is an arithmetic number, because the mean of its divisors is an integer number (8134237440).

Almost surely, 2^224105352241 is an apocalyptic number.

It is an amenable number.

224105352241 is a deficient number, since it is larger than the sum of its proper divisors (36190245839).

224105352241 is a wasteful number, since it uses less digits than its factorization.

224105352241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403597.

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 224105352241 its reverse (142253501422), we get a palindrome (366358853663).

The spelling of 224105352241 in words is "two hundred twenty-four billion, one hundred five million, three hundred fifty-two thousand, two hundred forty-one".