228427824105 has 48 divisors (see below), whose sum is σ = 429260504400. Its totient is φ = 111701988864.

The previous prime is 228427824101. The next prime is 228427824151. The reversal of 228427824105 is 501428724822.

228427824105 is a `hidden beast` number, since 228 + 4 + 2 + 7 + 8 + 2 + 410 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38408552361 + 190019271744 = 195981^2 + 435912^2 .

It is not a de Polignac number, because 228427824105 - 2² = 228427824101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (228427824101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223154 + ... + 1397483.

It is an arithmetic number, because the mean of its divisors is an integer number (8942927175).

Almost surely, 2^228427824105 is an apocalyptic number.

It is an amenable number.

228427824105 is a deficient number, since it is larger than the sum of its proper divisors (200832680295).

228427824105 is a wasteful number, since it uses less digits than its factorization.

228427824105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620810 (or 2620807 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 228427824105 in words is "two hundred twenty-eight billion, four hundred twenty-seven million, eight hundred twenty-four thousand, one hundred five".