224467420338 has 270 divisors, whose sum is σ = 592038129501. Its totient is φ = 61460144928.

The previous prime is 224467420321. The next prime is 224467420363. The reversal of 224467420338 is 833024764422.

224467420338 is a `hidden beast` number, since 2 + 244 + 6 + 74 + 2 + 0 + 338 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212920413489 + 11547006849 = 461433^2 + 107457^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335013.

It is a junction number, because it is equal to n+sod(n) for n = 224467420293 and 224467420302.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4235234320 + ... + 4235234372.

Almost surely, 2^224467420338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224467420338

224467420338 is an abundant number, since it is smaller than the sum of its proper divisors (367570709163).

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

224467420338 is an frugal number, since it uses more digits than its factorization.

224467420338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 224467420338 in words is "two hundred twenty-four billion, four hundred sixty-seven million, four hundred twenty thousand, three hundred thirty-eight".