Search a number
-
+
1001112224 = 25719012351
BaseRepresentation
bin111011101010111…
…100001010100000
32120202202202210112
4323222330022200
54022241042344
6243201150452
733544212350
oct7352741240
92522682715
101001112224
11474113482
1223b32b428
1312c5394c8
1496d5ab60
155cd50c9e
hex3babc2a0

1001112224 has 48 divisors (see below), whose sum is σ = 2254646016. Its totient is φ = 428640000.

The previous prime is 1001112209. The next prime is 1001112241. The reversal of 1001112224 is 4222111001.

It is a happy number.

1001112224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1001112199 and 1001112208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424649 + ... + 426999.

It is an arithmetic number, because the mean of its divisors is an integer number (46971792).

Almost surely, 21001112224 is an apocalyptic number.

1001112224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001112224 is an abundant number, since it is smaller than the sum of its proper divisors (1253533792).

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

1001112224 is a wasteful number, since it uses less digits than its factorization.

1001112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1001112224 is about 31640.3575201040. The cubic root of 1001112224 is about 1000.3706039691.

Adding to 1001112224 its reverse (4222111001), we get a palindrome (5223223225).

The spelling of 1001112224 in words is "one billion, one million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1901 2351 3802 4702 7604 9404 13307 15208 16457 18808 26614 30416 32914 37616 53228 60832 65828 75232 106456 131656 212912 263312 425824 526624 4469251 8938502 17877004 31284757 35754008 62569514 71508016 125139028 143016032 250278056 500556112 1001112224