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226332 = 22326287
BaseRepresentation
bin110111010000011100
3102111110200
4313100130
524220312
64503500
71631601
oct672034
9374420
10226332
11145057
12aab90
137c032
145c6a8
15470dc
hex3741c

226332 has 18 divisors (see below), whose sum is σ = 572208. Its totient is φ = 75432.

The previous prime is 226313. The next prime is 226337. The reversal of 226332 is 233622.

226332 is digitally balanced in base 2, 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 (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 214 + 214 + 33 + 6 + 311 + 214 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3108 + ... + 3179.

2226332 is an apocalyptic number.

It is an amenable number.

226332 is an abundant number, since it is smaller than the sum of its proper divisors (345876).

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

226332 is a wasteful number, since it uses less digits than its factorization.

226332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6292 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 226332 is about 475.7436284387. The cubic root of 226332 is about 60.9418060074.

Adding to 226332 its reverse (233622), we get a palindrome (459954).

The spelling of 226332 in words is "two hundred twenty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6287 12574 18861 25148 37722 56583 75444 113166 226332