Search a number
-
+
2221130112 = 2738536781
BaseRepresentation
bin1000010001100011…
…1100000110000000
312201210110002201020
42010120330012000
514022102130422
61004222305440
7106020202665
oct20430740600
95653402636
102221130112
11a3a851a23
1251ba28280
1329521c296
14170dbba6c
15ceee295c
hex8463c180

2221130112 has 64 divisors (see below), whose sum is σ = 5907664560. Its totient is φ = 739399680.

The previous prime is 2221130111. The next prime is 2221130117. The reversal of 2221130112 is 2110311222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2221130091 and 2221130100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221130111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324162 + ... + 330942.

Almost surely, 22221130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953832280).

2221130112 is an abundant number, since it is smaller than the sum of its proper divisors (3686534448).

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

2221130112 is an equidigital number, since it uses as much as digits as its factorization.

2221130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2221130112 is about 47128.8670774081. The cubic root of 2221130112 is about 1304.7420720120.

Adding to 2221130112 its reverse (2110311222), we get a palindrome (4331441334).

The spelling of 2221130112 in words is "two billion, two hundred twenty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 853 1706 2559 3412 5118 6781 6824 10236 13562 13648 20343 20472 27124 27296 40686 40944 54248 54592 81372 81888 108496 109184 162744 163776 216992 325488 327552 433984 650976 867968 1301952 2603904 5784193 11568386 17352579 23136772 34705158 46273544 69410316 92547088 138820632 185094176 277641264 370188352 555282528 740376704 1110565056 2221130112