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224226 = 23212457
BaseRepresentation
bin110110101111100010
3102101120200
4312233202
524133401
64450030
71622502
oct665742
9371520
10224226
11143512
12a9916
137b0a2
145ba02
1546686
hex36be2

224226 has 12 divisors (see below), whose sum is σ = 485862. Its totient is φ = 74736.

The previous prime is 224221. The next prime is 224233. The reversal of 224226 is 622422.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 65025 = 399^2 + 255^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12457 = 224226 / (2 + 2 + 4 + 2 + 2 + 6).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 224199 and 224208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 224226.

It is not an unprimeable number, because it can be changed into a prime (224221) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6211 + ... + 6246.

2224226 is an apocalyptic number.

224226 is an abundant number, since it is smaller than the sum of its proper divisors (261636).

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

224226 is a wasteful number, since it uses less digits than its factorization.

224226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465 (or 12462 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 224226 is about 473.5250785333. The cubic root of 224226 is about 60.7521972482.

Adding to 224226 its reverse (622422), we get a palindrome (846648).

The spelling of 224226 in words is "two hundred twenty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 12457 24914 37371 74742 112113 224226