82220033002228 has 24 divisors (see below), whose sum is σ = 165226860580320. Its totient is φ = 35405755837920.

The previous prime is 82220033002213. The next prime is 82220033002267.

82220033002228 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82220033002228² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82220033002193 and 82220033002202.

It is a congruent number.

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, 49174660051 + ... + 49174661722.

It is an arithmetic number, because the mean of its divisors is an integer number (6884452524180).

Almost surely, 2^{82220033002228} is an apocalyptic number.

It is an amenable number.

82220033002228 is an abundant number, since it is smaller than the sum of its proper divisors (83006827578092).

82220033002228 is a wasteful number, since it uses less digits than its factorization.

82220033002228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98349321807 (or 98349321805 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 82220033002228 in words is "eighty-two trillion, two hundred twenty billion, thirty-three million, two thousand, two hundred twenty-eight".