224080272 has 60 divisors (see below), whose sum is σ = 675358684. Its totient is φ = 68947200.

The previous prime is 224080271. The next prime is 224080273. The reversal of 224080272 is 272080422.

It is an interprime number because it is at equal distance from previous prime (224080271) and next prime (224080273).

It can be written as a sum of positive squares in 2 ways, for example, as 139145616 + 84934656 = 11796^2 + 9216^2 .

It is not an unprimeable number, because it can be changed into a prime (224080271) 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 11 ways as a sum of consecutive naturals, for example, 57979 + ... + 61722.

Almost surely, 2^224080272 is an apocalyptic number.

It is an amenable number.

224080272 is an abundant number, since it is smaller than the sum of its proper divisors (451278412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224080272 is a wasteful number, since it uses less digits than its factorization.

224080272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119728 (or 119719 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 224080272 is about 14969.3110061886. The cubic root of 224080272 is about 607.3903312677.

The spelling of 224080272 in words is "two hundred twenty-four million, eighty thousand, two hundred seventy-two".