224120432106 has 24 divisors (see below), whose sum is σ = 486145489284. Its totient is φ = 74622007680.

The previous prime is 224120432101. The next prime is 224120432111. The reversal of 224120432106 is 601234021422.

224120432106 is a `hidden beast` number, since 2 + 2 + 4 + 120 + 432 + 106 = 666.

It is an interprime number because it is at equal distance from previous prime (224120432101) and next prime (224120432111).

It can be written as a sum of positive squares in 2 ways, for example, as 203811617025 + 20308815081 = 451455^2 + 142509^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 224120432106.

It is not an unprimeable number, because it can be changed into a prime (224120432101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7050621 + ... + 7082336.

Almost surely, 2^224120432106 is an apocalyptic number.

224120432106 is an abundant number, since it is smaller than the sum of its proper divisors (262025057178).

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

224120432106 is a wasteful number, since it uses less digits than its factorization.

224120432106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133846 (or 14133843 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 224120432106 its reverse (601234021422), we get a palindrome (825354453528).

The spelling of 224120432106 in words is "two hundred twenty-four billion, one hundred twenty million, four hundred thirty-two thousand, one hundred six".