Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
32022 = 233593
BaseRepresentation
bin111110100010110
31121221000
413310112
52011042
6404130
7162234
oct76426
947830
1032022
1122071
1216646
1311763
14b954
15974c
hex7d16

32022 has 16 divisors (see below), whose sum is σ = 71280. Its totient is φ = 10656.

The previous prime is 32009. The next prime is 32027. The reversal of 32022 is 22023.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 31995 and 32013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32022.

It is not an unprimeable number, because it can be changed into a prime (32027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

232022 is an apocalyptic number.

32022 is an abundant number, since it is smaller than the sum of its proper divisors (39258).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35640).

32022 is a wasteful number, since it uses less digits than its factorization.

32022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 32022 is about 178.9469195041. The cubic root of 32022 is about 31.7552949608.

Adding to 32022 its reverse (22023), we get a palindrome (54045).

Subtracting from 32022 its reverse (22023), we obtain a palindrome (9999).

It can be divided in two parts, 3 and 2022, that added together give a square (2025 = 452).

The spelling of 32022 in words is "thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 593 1186 1779 3558 5337 10674 16011 32022