Search a number
-
+
24222105 = 3352329269
BaseRepresentation
bin101110001100…
…1100110011001
31200120121111000
41130121212121
522200101410
62223055213
7412612245
oct134314631
950517430
1024222105
1112744476
128141509
13503110b
143307425
1521d6dc0
hex1719999

24222105 has 64 divisors (see below), whose sum is σ = 46656000. Its totient is φ = 11886336.

The previous prime is 24222097. The next prime is 24222109. The reversal of 24222105 is 50122242.

It is not a de Polignac number, because 24222105 - 23 = 24222097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24222109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89911 + ... + 90179.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 224222105 is an apocalyptic number.

It is an amenable number.

24222105 is a deficient number, since it is larger than the sum of its proper divisors (22433895).

24222105 is a wasteful number, since it uses less digits than its factorization.

24222105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 24222105 is about 4921.5957777940. The cubic root of 24222105 is about 289.3369911064.

Adding to 24222105 its reverse (50122242), we get a palindrome (74344347).

The spelling of 24222105 in words is "twenty-four million, two hundred twenty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 23 27 29 45 69 87 115 135 145 207 261 269 345 435 621 667 783 807 1035 1305 1345 2001 2421 3105 3335 3915 4035 6003 6187 7263 7801 10005 12105 18009 18561 23403 30015 30935 36315 39005 55683 70209 90045 92805 117015 167049 179423 210627 278415 351045 538269 835245 897115 1053135 1614807 2691345 4844421 8074035 24222105