82228434840 has 96 divisors (see below), whose sum is σ = 281307826800. Its totient is φ = 20773497600.

The previous prime is 82228434833. The next prime is 82228434851. The reversal of 82228434840 is 4843482228.

82228434840 is a `hidden beast` number, since 8 + 22 + 284 + 348 + 4 + 0 = 666.

It is a super-2 number, since 2×82228434840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6004011 + ... + 6017690.

Almost surely, 2^82228434840 is an apocalyptic number.

It is an amenable number.

82228434840 is an abundant number, since it is smaller than the sum of its proper divisors (199079391960).

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

82228434840 is a wasteful number, since it uses less digits than its factorization.

82228434840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12021737 (or 12021730 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 82228434840 in words is "eighty-two billion, two hundred twenty-eight million, four hundred thirty-four thousand, eight hundred forty".