165022220 has 144 divisors (see below), whose sum is σ = 416045280. Its totient is φ = 54743040.

The previous prime is 165022189. The next prime is 165022223. The reversal of 165022220 is 22220561.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 165022192 and 165022201.

It is not an unprimeable number, because it can be changed into a prime (165022223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1701212 + ... + 1701308.

Almost surely, 2^165022220 is an apocalyptic number.

165022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208022640).

165022220 is an abundant number, since it is smaller than the sum of its proper divisors (251023060).

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

165022220 is a wasteful number, since it uses less digits than its factorization.

165022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 165022220 is about 12846.0974618753. The cubic root of 165022220 is about 548.5052748253.

Adding to 165022220 its reverse (22220561), we get a palindrome (187242781).

The spelling of 165022220 in words is "one hundred sixty-five million, twenty-two thousand, two hundred twenty".