Search a number
-
+
22242 = 2311337
BaseRepresentation
bin101011011100010
31010111210
411123202
51202432
6250550
7121563
oct53342
933453
1022242
1115790
1210a56
13a17c
14816a
1568cc
hex56e2

22242 has 16 divisors (see below), whose sum is σ = 48672. Its totient is φ = 6720.

The previous prime is 22229. The next prime is 22247. The reversal of 22242 is 24222.

It is a happy number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (22247) by changing a digit.

22242 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 7 ways as a sum of consecutive naturals, for example, 103 + ... + 234.

It is an arithmetic number, because the mean of its divisors is an integer number (3042).

222242 is an apocalyptic number.

22242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22242 is an abundant number, since it is smaller than the sum of its proper divisors (26430).

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 (24336).

22242 is a wasteful number, since it uses less digits than its factorization.

22242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353.

The product of its digits is 64, while the sum is 12.

The square root of 22242 is about 149.1375204300. The cubic root of 22242 is about 28.1227603155.

Adding to 22242 its reverse (24222), we get a palindrome (46464).

The spelling of 22242 in words is "twenty-two thousand, two hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 11 22 33 66 337 674 1011 2022 3707 7414 11121 22242