224032001 has 8 divisors (see below), whose sum is σ = 237532680. Its totient is φ = 210567168.

The previous prime is 224031991. The next prime is 224032013. The reversal of 224032001 is 100230422.

It can be written as a sum of positive squares in 4 ways, for example, as 3806401 + 220225600 = 1951^2 + 14840^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 224032001 - 2¹⁸ = 223769857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224032031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4505 + ... + 21641.

It is an arithmetic number, because the mean of its divisors is an integer number (29691585).

Almost surely, 2^224032001 is an apocalyptic number.

It is an amenable number.

224032001 is a deficient number, since it is larger than the sum of its proper divisors (13500679).

224032001 is a wasteful number, since it uses less digits than its factorization.

224032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17923.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 224032001 is about 14967.6985872912. The cubic root of 224032001 is about 607.3467137967.

Adding to 224032001 its reverse (100230422), we get a palindrome (324262423).

The spelling of 224032001 in words is "two hundred twenty-four million, thirty-two thousand, one".