Search a number
-
+
2109932356 = 22721721932
BaseRepresentation
bin111110111000011…
…0000001101000100
312110001012200001211
41331300300031010
513310120313411
6545211101204
7103200062200
oct17560601504
95401180054
102109932356
11993002454
124aa741804
132781879ac
14160313b00
15c537a221
hex7dc30344

2109932356 has 81 divisors (see below), whose sum is σ = 4586505399. Its totient is φ = 846655488.

The previous prime is 2109932317. The next prime is 2109932369. The reversal of 2109932356 is 6532399012.

The square root of 2109932356 is 45934.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1285956 + 2108646400 = 1134^2 + 45920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10932196 + ... + 10932388.

Almost surely, 22109932356 is an apocalyptic number.

2109932356 is the 45934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109932356

2109932356 is an abundant number, since it is smaller than the sum of its proper divisors (2476573043).

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

2109932356 is a wasteful number, since it uses less digits than its factorization.

2109932356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The cubic root of 2109932356 is about 1282.5949059541.

The spelling of 2109932356 in words is "two billion, one hundred nine million, nine hundred thirty-two thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 193 196 238 289 386 476 578 772 833 1156 1351 1666 2023 2702 3281 3332 4046 5404 6562 8092 9457 13124 14161 18914 22967 28322 37249 37828 45934 55777 56644 74498 91868 111554 148996 160769 223108 260743 321538 390439 521486 633233 643076 780878 1042972 1266466 1561756 1825201 2532932 2733073 3650402 4432631 5466146 7300804 8865262 10764961 10932292 17730524 21529922 31028417 43059844 62056834 75354727 124113668 150709454 301418908 527483089 1054966178 2109932356