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2189881680 = 243575472383
BaseRepresentation
bin1000001010000110…
…1111000101010000
312122121122111220220
42002201233011100
513441102203210
61001144433040
7105160454460
oct20241570520
95577574826
102189881680
11a24149578
12511478780
1328b8cac9c
1416aba5ba0
15cc3bdc70
hex8286f150

2189881680 has 160 divisors (see below), whose sum is σ = 7775883264. Its totient is φ = 499419648.

The previous prime is 2189881679. The next prime is 2189881703. The reversal of 2189881680 is 861889812.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917769 + ... + 920151.

Almost surely, 22189881680 is an apocalyptic number.

2189881680 is a gapful number since it is divisible by the number (20) 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 2189881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887941632).

2189881680 is an abundant number, since it is smaller than the sum of its proper divisors (5586001584).

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

2189881680 is a wasteful number, since it uses less digits than its factorization.

2189881680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 51.

The square root of 2189881680 is about 46796.1716382868. The cubic root of 2189881680 is about 1298.5944730381.

The spelling of 2189881680 in words is "two billion, one hundred eighty-nine million, eight hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 547 560 840 1094 1641 1680 2188 2383 2735 3282 3829 4376 4766 5470 6564 7149 7658 8205 8752 9532 10940 11487 11915 13128 14298 15316 16410 16681 19064 19145 21880 22974 23830 26256 28596 30632 32820 33362 35745 38128 38290 43760 45948 47660 50043 57192 57435 61264 65640 66724 71490 76580 83405 91896 95320 100086 114384 114870 131280 133448 142980 153160 166810 183792 190640 200172 229740 250215 266896 285960 306320 333620 400344 459480 500430 571920 667240 800688 918960 1000860 1303501 1334480 2001720 2607002 3910503 4003440 5214004 6517505 7821006 9124507 10428008 13035010 15642012 18249014 19552515 20856016 26070020 27373521 31284024 36498028 39105030 45622535 52140040 54747042 62568048 72996056 78210060 91245070 104280080 109494084 136867605 145992112 156420120 182490140 218988168 273735210 312840240 364980280 437976336 547470420 729960560 1094940840 2189881680