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226160 = 24511257
BaseRepresentation
bin110111001101110000
3102111020022
4313031300
524214120
64503012
71631234
oct671560
9374208
10226160
11144a10
12aaa68
137bc2c
145c5c4
1547025
hex37370

226160 has 40 divisors (see below), whose sum is σ = 575856. Its totient is φ = 81920.

The previous prime is 226141. The next prime is 226169. The reversal of 226160 is 61622.

226160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2261602 = 102296691200, which contains 22 as substring.

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 226160.

It is not an unprimeable number, because it can be changed into a prime (226169) by changing a digit.

226160 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, 752 + ... + 1008.

2226160 is an apocalyptic number.

226160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287928).

226160 is an abundant number, since it is smaller than the sum of its proper divisors (349696).

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

226160 is a wasteful number, since it uses less digits than its factorization.

226160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 226160 is about 475.5628244512. The cubic root of 226160 is about 60.9263646101.

Adding to 226160 its reverse (61622), we get a palindrome (287782).

It can be divided in two parts, 2 and 26160, that added together give a palindrome (26162).

The spelling of 226160 in words is "two hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 257 440 514 880 1028 1285 2056 2570 2827 4112 5140 5654 10280 11308 14135 20560 22616 28270 45232 56540 113080 226160