82201010228 has 24 divisors (see below), whose sum is σ = 145929258888. Its totient is φ = 40507762176.

The previous prime is 82201010219. The next prime is 82201010233.

82201010228 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 65179111204 + 17021899024 = 255302^2 + 130468^2 .

It is a super-2 number, since 2×82201010228² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82201010197 and 82201010206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298400 + ... + 503432.

It is an arithmetic number, because the mean of its divisors is an integer number (6080385787).

Almost surely, 2^82201010228 is an apocalyptic number.

It is an amenable number.

82201010228 is a deficient number, since it is larger than the sum of its proper divisors (63728248660).

82201010228 is a wasteful number, since it uses less digits than its factorization.

82201010228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206483 (or 206481 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 822010 and 10228, that added together give a palindrome (832238).

The spelling of 82201010228 in words is "eighty-two billion, two hundred one million, ten thousand, two hundred twenty-eight".