828222242 has 32 divisors (see below), whose sum is σ = 1287373824. Its totient is φ = 399445200.

The previous prime is 828222233. The next prime is 828222247. The reversal of 828222242 is 242222828.

828222242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×828222242³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 828222199 and 828222208.

It is not an unprimeable number, because it can be changed into a prime (828222247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502017 + ... + 2502347.

It is an arithmetic number, because the mean of its divisors is an integer number (40230432).

Almost surely, 2^828222242 is an apocalyptic number.

828222242 is a deficient number, since it is larger than the sum of its proper divisors (459151582).

828222242 is a wasteful number, since it uses less digits than its factorization.

828222242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734.

The product of its digits is 16384, while the sum is 32.

The square root of 828222242 is about 28778.8506024824. The cubic root of 828222242 is about 939.1081937194.

The spelling of 828222242 in words is "eight hundred twenty-eight million, two hundred twenty-two thousand, two hundred forty-two".