162220032 has 144 divisors (see below), whose sum is σ = 505306620. Its totient is φ = 49840128.

The previous prime is 162220031. The next prime is 162220057. The reversal of 162220032 is 230022261.

It can be written as a sum of positive squares in 2 ways, for example, as 158155776 + 4064256 = 12576^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 162219987 and 162220014.

It is not an unprimeable number, because it can be changed into a prime (162220031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239278 + ... + 239954.

Almost surely, 2^162220032 is an apocalyptic number.

162220032 is a gapful number since it is divisible by the number (12) 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 162220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252653310).

162220032 is an abundant number, since it is smaller than the sum of its proper divisors (343086588).

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

162220032 is a wasteful number, since it uses less digits than its factorization.

162220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 162220032 is about 12736.5628016353. The cubic root of 162220032 is about 545.3828715520.

Adding to 162220032 its reverse (230022261), we get a palindrome (392242293).

The spelling of 162220032 in words is "one hundred sixty-two million, two hundred twenty thousand, thirty-two".