224322648 has 64 divisors (see below), whose sum is σ = 616291200. Its totient is φ = 67476480.

The previous prime is 224322647. The next prime is 224322677. The reversal of 224322648 is 846223422.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224322643) 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, 33640 + ... + 39752.

It is an arithmetic number, because the mean of its divisors is an integer number (9629550).

Almost surely, 2^224322648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224322648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308145600).

224322648 is an abundant number, since it is smaller than the sum of its proper divisors (391968552).

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

224322648 is a wasteful number, since it uses less digits than its factorization.

224322648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6268 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 224322648 is about 14977.4045815689. The cubic root of 224322648 is about 607.6092465557.

The spelling of 224322648 in words is "two hundred twenty-four million, three hundred twenty-two thousand, six hundred forty-eight".