224506944 has 112 divisors (see below), whose sum is σ = 664707840. Its totient is φ = 74304000.

The previous prime is 224506943. The next prime is 224506963. The reversal of 224506944 is 449605422.

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

It is a junction number, because it is equal to n+sod(n) for n = 224506899 and 224506908.

It is not an unprimeable number, because it can be changed into a prime (224506943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298569 + ... + 299319.

Almost surely, 2^224506944 is an apocalyptic number.

224506944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224506944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332353920).

224506944 is an abundant number, since it is smaller than the sum of its proper divisors (440200896).

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

224506944 is a wasteful number, since it uses less digits than its factorization.

224506944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 224506944 is about 14983.5557862612. Note that the first 3 decimals coincide. The cubic root of 224506944 is about 607.7755981663.

The spelling of 224506944 in words is "two hundred twenty-four million, five hundred six thousand, nine hundred forty-four".