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2182888116 = 223429474943
BaseRepresentation
bin1000001000011100…
…0011101010110100
312122010111012120000
42002013003222310
513432304404431
61000334511300
7105044146203
oct20207035264
95563435500
102182888116
11a20202172
1250b065530
1328a31c996
14169ca523a
15cb98b9e6
hex821c3ab4

2182888116 has 120 divisors (see below), whose sum is σ = 6030097920. Its totient is φ = 687451968.

The previous prime is 2182888049. The next prime is 2182888151. The reversal of 2182888116 is 6118882812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439141 + ... + 444083.

It is an arithmetic number, because the mean of its divisors is an integer number (50250816).

Almost surely, 22182888116 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 2182888116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015048960).

2182888116 is an abundant number, since it is smaller than the sum of its proper divisors (3847209804).

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

2182888116 is a wasteful number, since it uses less digits than its factorization.

2182888116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5024 counting only the distinct ones).

The product of its digits is 98304, while the sum is 45.

The square root of 2182888116 is about 46721.3882071156. The cubic root of 2182888116 is about 1297.2106100568.

The spelling of 2182888116 in words is "two billion, one hundred eighty-two million, eight hundred eighty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 47 54 58 81 87 94 108 116 141 162 174 188 261 282 324 348 423 522 564 783 846 1044 1269 1363 1566 1692 2349 2538 2726 3132 3807 4089 4698 4943 5076 5452 7614 8178 9396 9886 12267 14829 15228 16356 19772 24534 29658 36801 44487 49068 59316 73602 88974 110403 133461 143347 147204 177948 220806 232321 266922 286694 400383 430041 441612 464642 533844 573388 696963 800766 860082 929284 1290123 1393926 1601532 1720164 2090889 2580246 2787852 3870369 4181778 5160492 6272667 6737309 7740738 8363556 11611107 12545334 13474618 15481476 18818001 20211927 23222214 25090668 26949236 37636002 40423854 46444428 60635781 75272004 80847708 121271562 181907343 242543124 363814686 545722029 727629372 1091444058 2182888116