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26226 = 2323147
BaseRepresentation
bin110011001110010
31022222100
412121302
51314401
6321230
7136314
oct63162
938870
1026226
1118782
1213216
13bc25
1497b4
157b86
hex6672

26226 has 24 divisors (see below), whose sum is σ = 59904. Its totient is φ = 8280.

The previous prime is 26209. The next prime is 26227. The reversal of 26226 is 62262.

Adding to 26226 its sum of digits (18), we get a square (26244 = 1622).

Adding to 26226 its reverse (62262), we get a palindrome (88488).

It can be divided in two parts, 2622 and 6, that added together give a triangular number (2628 = T72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26199 and 26208.

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 26226.

It is not an unprimeable number, because it can be changed into a prime (26227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (2496).

226226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29952).

26226 is an abundant number, since it is smaller than the sum of its proper divisors (33678).

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

26226 is a wasteful number, since it uses less digits than its factorization.

26226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 26226 is about 161.9444349152. The cubic root of 26226 is about 29.7105495972.

The spelling of 26226 in words is "twenty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 47 62 93 94 141 186 279 282 423 558 846 1457 2914 4371 8742 13113 26226