Search a number
-
+
2285226 = 233101419
BaseRepresentation
bin1000101101111010101010
311022002202000
420231322222
51041111401
6120551430
725265316
oct10557252
94262660
102285226
111320a19
12922576
13620208
14436b46
15302186
hex22deaa

2285226 has 32 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 752400.

The previous prime is 2285221. The next prime is 2285237. The reversal of 2285226 is 6225822.

2285226 is nontrivially palindromic in base 5.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2285226.

It is not an unprimeable number, because it can be changed into a prime (2285221) 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, 5245 + ... + 5663.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

22285226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

2285226 is an abundant number, since it is smaller than the sum of its proper divisors (2855574).

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

2285226 is a wasteful number, since it uses less digits than its factorization.

2285226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2285226 is about 1511.6963980906. The cubic root of 2285226 is about 131.7173704912.

The spelling of 2285226 in words is "two million, two hundred eighty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 419 606 838 909 1257 1818 2514 2727 3771 5454 7542 11313 22626 42319 84638 126957 253914 380871 761742 1142613 2285226