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226000 = 2453113
BaseRepresentation
bin110111001011010000
3102111000101
4313023100
524213000
64502144
71630615
oct671320
9374011
10226000
11144885
12aa954
137bb38
145c50c
1546e6a
hex372d0

226000 has 40 divisors (see below), whose sum is σ = 551304. Its totient is φ = 89600.

The previous prime is 225989. The next prime is 226001. The reversal of 226000 is 622.

It is a happy number.

226000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 166464 = 244^2 + 408^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

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 (226001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1944 + ... + 2056.

2226000 is an apocalyptic number.

226000 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 226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275652).

226000 is an abundant number, since it is smaller than the sum of its proper divisors (325304).

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

226000 is a wasteful number, since it uses less digits than its factorization.

226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 226000 is about 475.3945729602. The cubic root of 226000 is about 60.9119934892.

Adding to 226000 its reverse (622), we get a palindrome (226622).

The spelling of 226000 in words is "two hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 904 1000 1130 1808 2000 2260 2825 4520 5650 9040 11300 14125 22600 28250 45200 56500 113000 226000