224638401 has 16 divisors (see below), whose sum is σ = 336583296. Its totient is φ = 132228096.

The previous prime is 224638399. The next prime is 224638423. The reversal of 224638401 is 104836422.

It is not a de Polignac number, because 224638401 - 2¹ = 224638399 is a prime.

It is a super-2 number, since 2×224638401² = 100924822407673602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (224638441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124320 + ... + 126113.

It is an arithmetic number, because the mean of its divisors is an integer number (21036456).

Almost surely, 2^224638401 is an apocalyptic number.

It is an amenable number.

224638401 is a deficient number, since it is larger than the sum of its proper divisors (111944895).

224638401 is a wasteful number, since it uses less digits than its factorization.

224638401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250472.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 224638401 is about 14987.9418533700. The cubic root of 224638401 is about 607.8941999437.

The spelling of 224638401 in words is "two hundred twenty-four million, six hundred thirty-eight thousand, four hundred one".