224360448 has 144 divisors (see below), whose sum is σ = 656543160. Its totient is φ = 67731456.

The previous prime is 224360447. The next prime is 224360459. The reversal of 224360448 is 844063422.

It is a super-2 number, since 2×224360448² = 100675221253521408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224360447) 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, 4233190 + ... + 4233242.

Almost surely, 2^224360448 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 224360448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328271580).

224360448 is an abundant number, since it is smaller than the sum of its proper divisors (432182712).

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

224360448 is an equidigital number, since it uses as much as digits as its factorization.

224360448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 71 counting only the distinct ones).

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

The square root of 224360448 is about 14978.6664292920. Note that the first 3 decimals coincide. The cubic root of 224360448 is about 607.6433735000.

The spelling of 224360448 in words is "two hundred twenty-four million, three hundred sixty thousand, four hundred forty-eight".