Search a number
-
+
2189971980 = 2232576128493
BaseRepresentation
bin1000001010001000…
…0101001000001100
312122121211002210100
42002202011020030
513441113100410
61001150411100
7105161311650
oct20242051014
95577732710
102189971980
11a242003a9
12511500a90
1328b930111
1416abcaa60
15cc3da8c0
hex8288520c

2189971980 has 144 divisors (see below), whose sum is σ = 7716631104. Its totient is φ = 492341760.

The previous prime is 2189971961. The next prime is 2189972017. The reversal of 2189971980 is 891799812.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62614 + ... + 91106.

It is an arithmetic number, because the mean of its divisors is an integer number (53587716).

Almost surely, 22189971980 is an apocalyptic number.

2189971980 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 2189971980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858315552).

2189971980 is an abundant number, since it is smaller than the sum of its proper divisors (5526659124).

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

2189971980 is a wasteful number, since it uses less digits than its factorization.

2189971980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28576 (or 28571 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The square root of 2189971980 is about 46797.1364508556. The cubic root of 2189971980 is about 1298.6123220190.

It can be divided in two parts, 2189 and 971980, that added together give a square (974169 = 9872).

The spelling of 2189971980 in words is "two billion, one hundred eighty-nine million, nine hundred seventy-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1220 1260 1281 1708 1830 2135 2196 2562 2745 3660 3843 4270 5124 5490 6405 7686 8540 10980 12810 15372 19215 25620 28493 38430 56986 76860 85479 113972 142465 170958 199451 256437 284930 341916 398902 427395 512874 569860 598353 797804 854790 997255 1025748 1196706 1282185 1709580 1738073 1795059 1994510 2393412 2564370 2991765 3476146 3590118 3989020 5128740 5214219 5983530 6952292 7180236 8690365 8975295 10428438 11967060 12166511 15642657 17380730 17950590 20856876 24333022 26071095 31285314 34761460 35901180 36499533 48666044 52142190 60832555 62570628 72999066 78213285 104284380 109498599 121665110 145998132 156426570 182497665 218997198 243330220 312853140 364995330 437994396 547492995 729990660 1094985990 2189971980