224416944 has 60 divisors (see below), whose sum is σ = 643391112. Its totient is φ = 72979200.

The previous prime is 224416921. The next prime is 224417009. The reversal of 224416944 is 449614422.

It is a happy number.

224416944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 224416899 and 224416908.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13102 + ... + 24909.

Almost surely, 2^224416944 is an apocalyptic number.

224416944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224416944 is an abundant number, since it is smaller than the sum of its proper divisors (418974168).

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

224416944 is a wasteful number, since it uses less digits than its factorization.

224416944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38066 (or 38057 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 224416944 is about 14980.5521927598. The cubic root of 224416944 is about 607.6943725944.

The spelling of 224416944 in words is "two hundred twenty-four million, four hundred sixteen thousand, nine hundred forty-four".