Search a number
-
+
4224110112 = 253214667049
BaseRepresentation
bin1111101111000110…
…1100111000100000
3101220101102000201200
43323301230320200
532122333010422
61535053201200
7206451225555
oct37361547040
911811360650
104224110112
1118784444a2
1299a790200
1352419ab51
142c1010a2c
1519ac932ac
hexfbc6ce20

4224110112 has 36 divisors (see below), whose sum is σ = 12012313950. Its totient is φ = 1408036608.

The previous prime is 4224110087. The next prime is 4224110131. The reversal of 4224110112 is 2110114224.

It can be written as a sum of positive squares in only one way, i.e., 2855406096 + 1368704016 = 53436^2 + 36996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7333237 + ... + 7333812.

Almost surely, 24224110112 is an apocalyptic number.

It is an amenable number.

4224110112 is an abundant number, since it is smaller than the sum of its proper divisors (7788203838).

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

4224110112 is a wasteful number, since it uses less digits than its factorization.

4224110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14667065 (or 14667054 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4224110112 is about 64993.1543472080. The cubic root of 4224110112 is about 1616.5100544974.

Adding to 4224110112 its reverse (2110114224), we get a palindrome (6334224336).

The spelling of 4224110112 in words is "four billion, two hundred twenty-four million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14667049 29334098 44001147 58668196 88002294 117336392 132003441 176004588 234672784 264006882 352009176 469345568 528013764 704018352 1056027528 1408036704 2112055056 4224110112