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2222505 = 335101163
BaseRepresentation
bin1000011110100110101001
311011220201000
420132212221
51032110010
6115345213
724614415
oct10364651
94156630
102222505
11128888a
128b2209
135ca7bc
1441bd45
152dd7c0
hex21e9a9

2222505 has 32 divisors (see below), whose sum is σ = 4014720. Its totient is φ = 1166400.

The previous prime is 2222503. The next prime is 2222509. The reversal of 2222505 is 5052222.

2222505 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 2222505 - 21 = 2222503 is a prime.

2222505 is a lucky number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2222501) 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 31 ways as a sum of consecutive naturals, for example, 13554 + ... + 13716.

It is an arithmetic number, because the mean of its divisors is an integer number (125460).

22222505 is an apocalyptic number.

It is an amenable number.

2222505 is a deficient number, since it is larger than the sum of its proper divisors (1792215).

2222505 is a wasteful number, since it uses less digits than its factorization.

2222505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2222505 is about 1490.8068285328. The cubic root of 2222505 is about 130.5011229921.

Adding to 2222505 its reverse (5052222), we get a palindrome (7274727).

The spelling of 2222505 in words is "two million, two hundred twenty-two thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 101 135 163 303 489 505 815 909 1467 1515 2445 2727 4401 4545 7335 13635 16463 22005 49389 82315 148167 246945 444501 740835 2222505