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226206 = 2335971
BaseRepresentation
bin110111001110011110
3102111022000
4313032132
524214311
64503130
71631331
oct671636
9374260
10226206
11144a52
12aaaa6
137bc66
145c618
1547056
hex3739e

226206 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 73080.

The previous prime is 226201. The next prime is 226217. The reversal of 226206 is 602622.

Added to its reverse (602622) it gives a triangular number (828828 = T1287).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3151 + ... + 3221.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2226206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

226206 is an abundant number, since it is smaller than the sum of its proper divisors (292194).

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

226206 is a wasteful number, since it uses less digits than its factorization.

226206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

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

The square root of 226206 is about 475.6111857389. The cubic root of 226206 is about 60.9304950528.

Adding to 226206 its reverse (602622), we get a palindrome (828828).

The spelling of 226206 in words is "two hundred twenty-six thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 71 118 142 177 213 354 426 531 639 1062 1278 1593 1917 3186 3834 4189 8378 12567 25134 37701 75402 113103 226206