224224002401 has 24 divisors (see below), whose sum is σ = 267929824680. Its totient is φ = 186963904512.

The previous prime is 224224002319. The next prime is 224224002413. The reversal of 224224002401 is 104200422422.

It can be written as a sum of positive squares in 4 ways, for example, as 51654380176 + 172569622225 = 227276^2 + 415415^2 .

It is not a de Polignac number, because 224224002401 - 2²² = 224219808097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224224001401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18727745 + ... + 18739713.

It is an arithmetic number, because the mean of its divisors is an integer number (11163742695).

Almost surely, 2^224224002401 is an apocalyptic number.

It is an amenable number.

224224002401 is a deficient number, since it is larger than the sum of its proper divisors (43705822279).

224224002401 is a wasteful number, since it uses less digits than its factorization.

224224002401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22353 (or 22346 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 224224002401 its reverse (104200422422), we get a palindrome (328424424823).

The spelling of 224224002401 in words is "two hundred twenty-four billion, two hundred twenty-four million, two thousand, four hundred one".