224644240 has 40 divisors (see below), whose sum is σ = 527700600. Its totient is φ = 88928256.

The previous prime is 224644229. The next prime is 224644241. The reversal of 224644240 is 42446422.

It can be written as a sum of positive squares in 4 ways, for example, as 81793936 + 142850304 = 9044^2 + 11952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 224644199 and 224644208.

It is not an unprimeable number, because it can be changed into a prime (224644241) 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 7 ways as a sum of consecutive naturals, for example, 6715 + ... + 22234.

It is an arithmetic number, because the mean of its divisors is an integer number (13192515).

Almost surely, 2^224644240 is an apocalyptic number.

224644240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224644240 is an abundant number, since it is smaller than the sum of its proper divisors (303056360).

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

224644240 is a wasteful number, since it uses less digits than its factorization.

224644240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29059 (or 29053 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 224644240 is about 14988.1366420246. The cubic root of 224644240 is about 607.8994668726.

The spelling of 224644240 in words is "two hundred twenty-four million, six hundred forty-four thousand, two hundred forty".