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2196094824 = 2332711236011
BaseRepresentation
bin1000001011100101…
…1011111101101000
312200001100011202100
42002321123331220
513444200013244
61001525533400
7105264332550
oct20271337550
95601304670
102196094824
11a27702600
12513574260
1328cc94cc1
1416b942160
15ccbe9b69
hex82e5bf68

2196094824 has 144 divisors (see below), whose sum is σ = 7471769760. Its totient is φ = 570398400.

The previous prime is 2196094819. The next prime is 2196094837. The reversal of 2196094824 is 4284906912.

2196094824 is a `hidden beast` number, since 2 + 19 + 609 + 4 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2196094824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42979 + ... + 78989.

It is an arithmetic number, because the mean of its divisors is an integer number (51887290).

Almost surely, 22196094824 is an apocalyptic number.

2196094824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2196094824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735884880).

2196094824 is an abundant number, since it is smaller than the sum of its proper divisors (5275674936).

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

2196094824 is a wasteful number, since it uses less digits than its factorization.

2196094824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36052 (or 36034 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2196094824 is about 46862.5097919435. The cubic root of 2196094824 is about 1299.8214397750.

The spelling of 2196094824 in words is "two billion, one hundred ninety-six million, ninety-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 2178 2541 2772 2904 3388 4356 5082 5544 6776 7623 8712 10164 15246 20328 30492 36011 60984 72022 108033 144044 216066 252077 288088 324099 396121 432132 504154 648198 756231 792242 864264 1008308 1188363 1296396 1512462 1584484 2016616 2268693 2376726 2592792 2772847 3024924 3168968 3565089 4357331 4537386 4753452 5545694 6049848 7130178 8318541 8714662 9074772 9506904 11091388 13071993 14260356 16637082 17429324 18149544 22182776 24955623 26143986 28520712 30501317 33274164 34858648 39215979 49911246 52287972 61002634 66548328 78431958 91503951 99822492 104575944 122005268 156863916 183007902 199644984 244010536 274511853 313727832 366015804 549023706 732031608 1098047412 2196094824