224073865 has 16 divisors (see below), whose sum is σ = 281984400. Its totient is φ = 170698752.

The previous prime is 224073833. The next prime is 224073869. The reversal of 224073865 is 568370422.

224073865 is a nontrivial binomial coefficient, being equal to C(21170, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 17749369 + 206324496 = 4213^2 + 14364^2 .

It is a 4-Lehmer number, since φ(224073865) divides (224073865-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 224073865 - 2⁵ = 224073833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224073869) 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 15 ways as a sum of consecutive naturals, for example, 1 + ... + 21169.

It is an arithmetic number, because the mean of its divisors is an integer number (17624025).

It is a Poulet number, since it divides 2^224073864-1.

Almost surely, 2^224073865 is an apocalyptic number.

224073865 is the 21169-th triangular number and also the 10585-th hexagonal number.

224073865 is the 7057-th centered nonagonal number.

It is an amenable number.

224073865 is a deficient number, since it is larger than the sum of its proper divisors (57910535).

224073865 is a wasteful number, since it uses less digits than its factorization.

224073865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21276.

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 224073865 is about 14969.0970001533. The cubic root of 224073865 is about 607.3845422902.

The spelling of 224073865 in words is "two hundred twenty-four million, seventy-three thousand, eight hundred sixty-five".