Search a number
-
+
42220 = 2252111
BaseRepresentation
bin1010010011101100
32010220201
422103230
52322340
6523244
7234043
oct122354
963821
1042220
11297a2
1220524
13162a9
141155a
15c79a
hexa4ec

42220 has 12 divisors (see below), whose sum is σ = 88704. Its totient is φ = 16880.

The previous prime is 42209. The next prime is 42221. The reversal of 42220 is 2224.

It is a happy number.

42220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42197 and 42206.

It is not an unprimeable number, because it can be changed into a prime (42221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1036 + ... + 1075.

It is an arithmetic number, because the mean of its divisors is an integer number (7392).

242220 is an apocalyptic number.

It is an amenable number.

42220 is an abundant number, since it is smaller than the sum of its proper divisors (46484).

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 (44352).

42220 is a wasteful number, since it uses less digits than its factorization.

42220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 42220 is about 205.4750593138. The cubic root of 42220 is about 34.8208533138.

Adding to 42220 its reverse (2224), we get a palindrome (44444).

It can be divided in two parts, 42 and 220, that added together give a palindrome (262).

The spelling of 42220 in words is "forty-two thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 2111 4222 8444 10555 21110 42220