288224 has 12 divisors (see below), whose sum is σ = 567504. Its totient is φ = 144096.

The previous prime is 288209. The next prime is 288227. The reversal of 288224 is 422882.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 288193 and 288202.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288224.

It is not an unprimeable number, because it can be changed into a prime (288227) by changing a digit.

288224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4472 + ... + 4535.

It is an arithmetic number, because the mean of its divisors is an integer number (47292).

2²⁸⁸²²⁴ is an apocalyptic number.

It is an amenable number.

288224 is a deficient number, since it is larger than the sum of its proper divisors (279280).

288224 is an equidigital number, since it uses as much as digits as its factorization.

288224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9017 (or 9009 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 288224 is about 536.8649737131. The cubic root of 288224 is about 66.0556616453.

It can be divided in two parts, 288 and 224, that added together give a 9-th power (512 = 2⁹).

The spelling of 288224 in words is "two hundred eighty-eight thousand, two hundred twenty-four".