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22256 = 2413107
BaseRepresentation
bin101011011110000
31010112022
411123300
51203011
6251012
7121613
oct53360
933468
1022256
11157a3
1210a68
13a190
14817a
1568db
hex56f0

22256 has 20 divisors (see below), whose sum is σ = 46872. Its totient is φ = 10176.

The previous prime is 22247. The next prime is 22259. The reversal of 22256 is 65222.

It is a plaindrome in base 9 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22259) by changing a digit.

22256 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 3 ways as a sum of consecutive naturals, for example, 155 + ... + 261.

222256 is an apocalyptic number.

22256 is a gapful number since it is divisible by the number (26) 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 22256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436).

22256 is an abundant number, since it is smaller than the sum of its proper divisors (24616).

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

22256 is a wasteful number, since it uses less digits than its factorization.

22256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 22256 is about 149.1844495918. The cubic root of 22256 is about 28.1286596061.

Adding to 22256 its reverse (65222), we get a palindrome (87478).

The spelling of 22256 in words is "twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 428 856 1391 1712 2782 5564 11128 22256