82223022032228 has 24 divisors (see below), whose sum is σ = 179395684434624. Its totient is φ = 32034943648800.

The previous prime is 82223022032219. The next prime is 82223022032257.

82223022032228 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82223022032228² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82223022032191 and 82223022032200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133478931563 + ... + 133478932178.

It is an arithmetic number, because the mean of its divisors is an integer number (7474820184776).

Almost surely, 2^{82223022032228} is an apocalyptic number.

It is an amenable number.

82223022032228 is an abundant number, since it is smaller than the sum of its proper divisors (97172662402396).

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

82223022032228 is a wasteful number, since it uses less digits than its factorization.

82223022032228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266957863763 (or 266957863761 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 82223022032228 in words is "eighty-two trillion, two hundred twenty-three billion, twenty-two million, thirty-two thousand, two hundred twenty-eight".