82228020282 has 48 divisors (see below), whose sum is σ = 180435248448. Its totient is φ = 27061024320.

The previous prime is 82228020271. The next prime is 82228020283. The reversal of 82228020282 is 28202082228.

82228020282 is a `hidden beast` number, since 82 + 2 + 280 + 20 + 282 = 666.

It is a super-2 number, since 2×82228020282² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82228020283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546678 + ... + 680670.

It is an arithmetic number, because the mean of its divisors is an integer number (3759067676).

Almost surely, 2^82228020282 is an apocalyptic number.

82228020282 is an abundant number, since it is smaller than the sum of its proper divisors (98207228166).

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

82228020282 is a wasteful number, since it uses less digits than its factorization.

82228020282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134435 (or 134432 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 82228020282 in words is "eighty-two billion, two hundred twenty-eight million, twenty thousand, two hundred eighty-two".