224225040 has 80 divisors (see below), whose sum is σ = 748577088. Its totient is φ = 55193088.

The previous prime is 224225017. The next prime is 224225051. The reversal of 224225040 is 40522422.

224225040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 224224998 and 224225016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32814 + ... + 39053.

Almost surely, 2^224225040 is an apocalyptic number.

224225040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224225040 is an abundant number, since it is smaller than the sum of its proper divisors (524352048).

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

224225040 is a wasteful number, since it uses less digits than its factorization.

224225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71896 (or 71890 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 224225040 is about 14974.1457185377. The cubic root of 224225040 is about 607.5211054667.

Adding to 224225040 its reverse (40522422), we get a palindrome (264747462).

The spelling of 224225040 in words is "two hundred twenty-four million, two hundred twenty-five thousand, forty".