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23226 = 237279
BaseRepresentation
bin101101010111010
31011212020
411222322
51220401
6255310
7124500
oct55272
934766
1023226
11164a5
1211536
13a758
148670
156d36
hex5aba

23226 has 24 divisors (see below), whose sum is σ = 54720. Its totient is φ = 6552.

The previous prime is 23209. The next prime is 23227. The reversal of 23226 is 62232.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23226.

It is not an unprimeable number, because it can be changed into a prime (23227) by changing a digit.

23226 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, 255 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

223226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27360).

23226 is an abundant number, since it is smaller than the sum of its proper divisors (31494).

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

23226 is a wasteful number, since it uses less digits than its factorization.

23226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 23226 is about 152.4007873995. The cubic root of 23226 is about 28.5315133106.

Adding to 23226 its reverse (62232), we get a palindrome (85458).

The spelling of 23226 in words is "twenty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 147 158 237 294 474 553 1106 1659 3318 3871 7742 11613 23226