[go: up one dir, main page]

Search a number
-
+
2112104232 = 233272598669
BaseRepresentation
bin111110111100100…
…0010011100101000
312110012022000022200
41331321002130220
513311144313412
6545325420200
7103224406200
oct17571023450
95405260280
102112104232
11994256197
124ab40a660
13278768424
1416071b400
15c56589dc
hex7de42728

2112104232 has 72 divisors (see below), whose sum is σ = 6654217050. Its totient is φ = 603457344.

The previous prime is 2112104213. The next prime is 2112104251. The reversal of 2112104232 is 2324012112.

It is a happy number.

2112104232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2112104213) and next prime (2112104251).

It can be written as a sum of positive squares in only one way, i.e., 1970827236 + 141276996 = 44394^2 + 11886^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 295807 + ... + 302862.

Almost surely, 22112104232 is an apocalyptic number.

It is an amenable number.

2112104232 is an abundant number, since it is smaller than the sum of its proper divisors (4542112818).

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

2112104232 is a wasteful number, since it uses less digits than its factorization.

2112104232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598695 (or 598681 counting only the distinct ones).

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

The square root of 2112104232 is about 45957.6351872026. The cubic root of 2112104232 is about 1283.0348381990.

Adding to 2112104232 its reverse (2324012112), we get a palindrome (4436116344).

The spelling of 2112104232 in words is "two billion, one hundred twelve million, one hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 598669 1197338 1796007 2394676 3592014 4190683 4789352 5388021 7184028 8381366 10776042 12572049 14368056 16762732 21552084 25144098 29334781 33525464 37716147 43104168 50288196 58669562 75432294 88004343 100576392 117339124 150864588 176008686 234678248 264013029 301729176 352017372 528026058 704034744 1056052116 2112104232