224095248 has 200 divisors, whose sum is σ = 715870848. Its totient is φ = 67246848.

The previous prime is 224095247. The next prime is 224095259. The reversal of 224095248 is 842590422.

224095248 is a `hidden beast` number, since 2 + 2 + 409 + 5 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (224095247) 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 39 ways as a sum of consecutive naturals, for example, 791715 + ... + 791997.

Almost surely, 2^224095248 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 224095248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357935424).

224095248 is an abundant number, since it is smaller than the sum of its proper divisors (491775600).

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

224095248 is a wasteful number, since it uses less digits than its factorization.

224095248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 224095248 is about 14969.8112212546. The cubic root of 224095248 is about 607.4038622446.

The spelling of 224095248 in words is "two hundred twenty-four million, ninety-five thousand, two hundred forty-eight".