180082242 has 18 divisors (see below), whose sum is σ = 390301587. Its totient is φ = 60008436.

The previous prime is 180082223. The next prime is 180082261. The reversal of 180082242 is 242280081.

It is an interprime number because it is at equal distance from previous prime (180082223) and next prime (180082261).

It can be written as a sum of positive squares in only one way, i.e., 90041121 + 90041121 = 9489^2 + 9489^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9489.

It is a super-2 number, since 2×180082242² = 64859227767493128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55353 + ... + 58515.

Almost surely, 2^180082242 is an apocalyptic number.

180082242 is an abundant number, since it is smaller than the sum of its proper divisors (210219345).

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

180082242 is an frugal number, since it uses more digits than its factorization.

180082242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6334 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 180082242 is about 13419.4724933583. The cubic root of 180082242 is about 564.7075961077.

Multiplying 180082242 by its product of nonzero digits (2048), we get a square (368808431616 = 607296²).

The spelling of 180082242 in words is "one hundred eighty million, eighty-two thousand, two hundred forty-two".