Search a number
-
+
320022 = 23223773
BaseRepresentation
bin1001110001000010110
3121020222200
41032020112
540220042
610505330
72502003
oct1161026
9536880
10320022
111a948a
12135246
13b2881
14848aa
1564c4c
hex4e216

320022 has 24 divisors (see below), whose sum is σ = 724464. Its totient is φ = 101904.

The previous prime is 320011. The next prime is 320027. The reversal of 320022 is 220023.

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

It is a junction number, because it is equal to n+sod(n) for n = 319986 and 320013.

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 320022.

It is not an unprimeable number, because it can be changed into a prime (320027) by changing a digit.

320022 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (30186).

2320022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362232).

320022 is an abundant number, since it is smaller than the sum of its proper divisors (404442).

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

320022 is a wasteful number, since it uses less digits than its factorization.

320022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 801 counting only the distinct ones).

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

The square root of 320022 is about 565.7048700515. The cubic root of 320022 is about 68.4006053091.

Adding to 320022 its reverse (220023), we get a palindrome (540045).

Subtracting from 320022 its reverse (220023), we obtain a palindrome (99999).

The spelling of 320022 in words is "three hundred twenty thousand, twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 773 1546 2319 4638 6957 13914 17779 35558 53337 106674 160011 320022