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226356 = 223131451
BaseRepresentation
bin110111010000110100
3102111111120
4313100310
524220411
64503540
71631634
oct672064
9374446
10226356
11145079
12aabb0
137c050
145c6c4
1547106
hex37434

226356 has 24 divisors (see below), whose sum is σ = 569184. Its totient is φ = 69600.

The previous prime is 226337. The next prime is 226357. The reversal of 226356 is 653622.

226356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226357) by changing a digit.

226356 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 7 ways as a sum of consecutive naturals, for example, 570 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (23716).

226356 is a Friedman number, since it can be written as 52*(66^2-3), using all its digits and the basic arithmetic operations.

2226356 is an apocalyptic number.

226356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

226356 is an abundant number, since it is smaller than the sum of its proper divisors (342828).

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

226356 is a wasteful number, since it uses less digits than its factorization.

226356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1469 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 226356 is about 475.7688514394. The cubic root of 226356 is about 60.9439599989.

Adding to 226356 its reverse (653622), we get a palindrome (879978).

The spelling of 226356 in words is "two hundred twenty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1451 2902 4353 5804 8706 17412 18863 37726 56589 75452 113178 226356