82022820224 has 32 divisors (see below), whose sum is σ = 164226018000. Its totient is φ = 40805309952.

The previous prime is 82022820157. The next prime is 82022820233. The reversal of 82022820224 is 42202822028.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×82022820224⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1584587 + ... + 1635530.

Almost surely, 2^82022820224 is an apocalyptic number.

It is an amenable number.

82022820224 is an abundant number, since it is smaller than the sum of its proper divisors (82203197776).

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

82022820224 is a wasteful number, since it uses less digits than its factorization.

82022820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220330 (or 3220318 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 82022820224 in words is "eighty-two billion, twenty-two million, eight hundred twenty thousand, two hundred twenty-four".