82240022004228 has 72 divisors (see below), whose sum is σ = 234603197599680. Its totient is φ = 24061866413760.

The previous prime is 82240022004197. The next prime is 82240022004289.

82240022004228 is a `hidden beast` number, since 8 + 2 + 2 + 4 + 0 + 0 + 220 + 0 + 422 + 8 = 666.

82240022004228 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82240022004192 and 82240022004201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3580623400 + ... + 3580646367.

It is an arithmetic number, because the mean of its divisors is an integer number (3258377744440).

Almost surely, 2^{82240022004228} is an apocalyptic number.

It is an amenable number.

82240022004228 is an abundant number, since it is smaller than the sum of its proper divisors (152363175595452).

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

82240022004228 is a wasteful number, since it uses less digits than its factorization.

82240022004228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161269817 (or 7161269812 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 82240022004228 in words is "eighty-two trillion, two hundred forty billion, twenty-two million, four thousand, two hundred twenty-eight".