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226366 = 27192337
BaseRepresentation
bin110111010000111110
3102111111221
4313100332
524220431
64503554
71631650
oct672076
9374457
10226366
11145088
12aabba
137c05a
145c6d0
1547111
hex3743e

226366 has 32 divisors (see below), whose sum is σ = 437760. Its totient is φ = 85536.

The previous prime is 226357. The next prime is 226367. The reversal of 226366 is 663622.

226366 = T36 + T37 + ... + T111.

It is a self number, because there is not a number n which added to its sum of digits gives 226366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226367) by changing a digit.

226366 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 6100 + ... + 6136.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2226366 is an apocalyptic number.

226366 is a deficient number, since it is larger than the sum of its proper divisors (211394).

226366 is a wasteful number, since it uses less digits than its factorization.

226366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88.

The product of its digits is 2592, while the sum is 25.

The square root of 226366 is about 475.7793606284. The cubic root of 226366 is about 60.9448574505.

Adding to 226366 its reverse (663622), we get a palindrome (889988).

The spelling of 226366 in words is "two hundred twenty-six thousand, three hundred sixty-six".

Divisors: 1 2 7 14 19 23 37 38 46 74 133 161 259 266 322 437 518 703 851 874 1406 1702 3059 4921 5957 6118 9842 11914 16169 32338 113183 226366