224869248 has 192 divisors, whose sum is σ = 687398400. Its totient is φ = 70447104.

The previous prime is 224869247. The next prime is 224869259. The reversal of 224869248 is 842968422.

224869248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 (224869247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1770561 + ... + 1770687.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^224869248 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 224869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

224869248 is an abundant number, since it is smaller than the sum of its proper divisors (462529152).

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

224869248 is a wasteful number, since it uses less digits than its factorization.

224869248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 224869248 is about 14995.6409666276. The cubic root of 224869248 is about 608.1023604207.

The spelling of 224869248 in words is "two hundred twenty-four million, eight hundred sixty-nine thousand, two hundred forty-eight".