Search a number
-
+
2116640232 = 233279414463
BaseRepresentation
bin111111000101001…
…0101110111101000
312110111211110112200
41332022111313220
513313324441412
6550010540200
7103311100530
oct17612256750
95414743480
102116640232
11996874153
124b0a37660
13279695c55
1416117c4c0
15c5c529dc
hex7e295de8

2116640232 has 96 divisors (see below), whose sum is σ = 6559937280. Its totient is φ = 603976320.

The previous prime is 2116640231. The next prime is 2116640237. The reversal of 2116640232 is 2320466112.

2116640232 is a `hidden beast` number, since 2 + 1 + 16 + 640 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2116640196 and 2116640205.

It is not an unprimeable number, because it can be changed into a prime (2116640231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472033 + ... + 476495.

It is an arithmetic number, because the mean of its divisors is an integer number (68332680).

Almost surely, 22116640232 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 2116640232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279968640).

2116640232 is an abundant number, since it is smaller than the sum of its proper divisors (4443297048).

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

2116640232 is a wasteful number, since it uses less digits than its factorization.

2116640232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2116640232 is about 46006.9585171635. The cubic root of 2116640232 is about 1283.9526724338.

The spelling of 2116640232 in words is "two billion, one hundred sixteen million, six hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 941 1882 2823 3764 4463 5646 6587 7528 8469 8926 11292 13174 13389 16938 17852 19761 22584 26348 26778 31241 33876 35704 39522 40167 52696 53556 59283 62482 67752 79044 80334 93723 107112 118566 124964 158088 160668 187446 237132 249928 281169 321336 374892 474264 562338 749784 1124676 2249352 4199683 8399366 12599049 16798732 25198098 29397781 33597464 37797147 50396196 58795562 75594294 88193343 100792392 117591124 151188588 176386686 235182248 264580029 302377176 352773372 529160058 705546744 1058320116 2116640232