82227722772228 has 48 divisors (see below), whose sum is σ = 209361681371136. Its totient is φ = 24910973811360.

The previous prime is 82227722772179. The next prime is 82227722772233.

It is a happy number.

82227722772228 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82227722772228² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80967676 + ... + 81976947.

It is an arithmetic number, because the mean of its divisors is an integer number (4361701695232).

Almost surely, 2^{82227722772228} is an apocalyptic number.

It is an amenable number.

82227722772228 is an abundant number, since it is smaller than the sum of its proper divisors (127133958598908).

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

82227722772228 is a wasteful number, since it uses less digits than its factorization.

82227722772228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162948464 (or 162948462 counting only the distinct ones).

The product of its digits is 39337984, while the sum is 60.

The spelling of 82227722772228 in words is "eighty-two trillion, two hundred twenty-seven billion, seven hundred twenty-two million, seven hundred seventy-two thousand, two hundred twenty-eight".