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226644 = 2231117101
BaseRepresentation
bin110111010101010100
3102111220020
4313111110
524223034
64505140
71632525
oct672524
9374806
10226644
11145310
12ab1b0
137c212
145c84c
1547249
hex37554

226644 has 48 divisors (see below), whose sum is σ = 616896. Its totient is φ = 64000.

The previous prime is 226643. The next prime is 226649. The reversal of 226644 is 446622.

226644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2194 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2226644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448).

226644 is an abundant number, since it is smaller than the sum of its proper divisors (390252).

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

226644 is a wasteful number, since it uses less digits than its factorization.

226644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 226644 is about 476.0714232129. The cubic root of 226644 is about 60.9697960298.

It can be divided in two parts, 22 and 6644, that added together give a palindrome (6666).

The spelling of 226644 in words is "two hundred twenty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 101 102 132 187 202 204 303 374 404 561 606 748 1111 1122 1212 1717 2222 2244 3333 3434 4444 5151 6666 6868 10302 13332 18887 20604 37774 56661 75548 113322 226644