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226026 = 23229433
BaseRepresentation
bin110111001011101010
3102111001100
4313023222
524213101
64502230
71630653
oct671352
9374040
10226026
111448a9
12aa976
137bb58
145c52a
1546e86
hex372ea

226026 has 24 divisors (see below), whose sum is σ = 507780. Its totient is φ = 72576.

The previous prime is 226013. The next prime is 226027. The reversal of 226026 is 620622.

It can be written as a sum of positive squares in 2 ways, for example, as 216225 + 9801 = 465^2 + 99^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (226027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306 + ... + 738.

2226026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890).

226026 is an abundant number, since it is smaller than the sum of its proper divisors (281754).

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

226026 is a wasteful number, since it uses less digits than its factorization.

226026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 467 counting only the distinct ones).

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

The square root of 226026 is about 475.4219178793. The cubic root of 226026 is about 60.9143292578.

Adding to 226026 its reverse (620622), we get a palindrome (846648).

The spelling of 226026 in words is "two hundred twenty-six thousand, twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 433 522 866 1299 2598 3897 7794 12557 25114 37671 75342 113013 226026