Search a number
-
+
2241230112 = 253211707459
BaseRepresentation
bin1000010110010110…
…0111010100100000
312210012021021201200
42011211213110200
514042223330422
61010221201200
7106353066402
oct20545472440
95705237650
102241230112
11a501303a0
12526700200
13299439084
14173930b72
15d1b632ac
hex85967520

2241230112 has 72 divisors (see below), whose sum is σ = 6952916880. Its totient is φ = 679159680.

The previous prime is 2241230111. The next prime is 2241230141. The reversal of 2241230112 is 2110321422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22412301122 = 10046224829871065088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2241230111) 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 11 ways as a sum of consecutive naturals, for example, 350562 + ... + 356897.

It is an arithmetic number, because the mean of its divisors is an integer number (96568290).

Almost surely, 22241230112 is an apocalyptic number.

2241230112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2241230112 is an abundant number, since it is smaller than the sum of its proper divisors (4711686768).

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

2241230112 is a wasteful number, since it uses less digits than its factorization.

2241230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707486 (or 707475 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2241230112 is about 47341.6319110358. The cubic root of 2241230112 is about 1308.6659908364.

Adding to 2241230112 its reverse (2110321422), we get a palindrome (4351551534).

The spelling of 2241230112 in words is "two billion, two hundred forty-one million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 707459 1414918 2122377 2829836 4244754 5659672 6367131 7782049 8489508 11319344 12734262 15564098 16979016 22638688 23346147 25468524 31128196 33958032 46692294 50937048 62256392 67916064 70038441 93384588 101874096 124512784 140076882 186769176 203748192 249025568 280153764 373538352 560307528 747076704 1120615056 2241230112