Search a number
-
+
2225223 = 3271113219
BaseRepresentation
bin1000011111010001000111
311012001102200
420133101013
51032201343
6115405543
724625350
oct10372107
94161380
102225223
11128a930
128b38b3
135cbb00
1441cd27
152de4d3
hex21f447

2225223 has 72 divisors (see below), whose sum is σ = 4567680. Its totient is φ = 1010880.

The previous prime is 2225221. The next prime is 2225231. The reversal of 2225223 is 3225222.

2225223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2225223 - 21 = 2225221 is a prime.

2225223 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2225196 and 2225205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225221) 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 71 ways as a sum of consecutive naturals, for example, 117108 + ... + 117126.

It is an arithmetic number, because the mean of its divisors is an integer number (63440).

22225223 is an apocalyptic number.

2225223 is an abundant number, since it is smaller than the sum of its proper divisors (2342457).

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

2225223 is a wasteful number, since it uses less digits than its factorization.

2225223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 2225223 is about 1491.7181369146. The cubic root of 2225223 is about 130.5542998588.

Subtracting 2225223 from its reverse (3225222), we obtain a palindrome (999999).

It can be divided in two parts, 222 and 5223, that added together give a palindrome (5445).

The spelling of 2225223 in words is "two million, two hundred twenty-five thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 13 19 21 33 39 57 63 77 91 99 117 133 143 169 171 209 231 247 273 399 429 507 627 693 741 819 1001 1183 1197 1287 1463 1521 1729 1859 1881 2223 2717 3003 3211 3549 4389 5187 5577 8151 9009 9633 10647 13013 13167 15561 16731 19019 22477 24453 28899 35321 39039 57057 67431 105963 117117 171171 202293 247247 317889 741741 2225223