Search a number
-
+
2286993280 = 275111324989
BaseRepresentation
bin1000100001010000…
…1011111110000000
312220101101021222211
42020110023332000
514140432241110
61014534111504
7110450056615
oct21024137600
95811337884
102286993280
11a73a479a0
12539aab594
132a5a6cb80
14179a4450c
15d5ba298a
hex8850bf80

2286993280 has 128 divisors (see below), whose sum is σ = 6423429600. Its totient is φ = 767631360.

The previous prime is 2286993263. The next prime is 2286993307. The reversal of 2286993280 is 823996822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79026 + ... + 104014.

Almost surely, 22286993280 is an apocalyptic number.

2286993280 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 2286993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211714800).

2286993280 is an abundant number, since it is smaller than the sum of its proper divisors (4136436320).

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

2286993280 is a wasteful number, since it uses less digits than its factorization.

2286993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25032 (or 25020 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 2286993280 is about 47822.5185451373. The cubic root of 2286993280 is about 1317.5131629399.

The spelling of 2286993280 in words is "two billion, two hundred eighty-six million, nine hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4576 5720 7040 8320 9152 11440 18304 22880 24989 45760 49978 91520 99956 124945 199912 249890 274879 324857 399824 499780 549758 649714 799648 999560 1099516 1299428 1374395 1599296 1624285 1999120 2199032 2598856 2748790 3198592 3248570 3573427 3998240 4398064 5197712 5497580 6497140 7146854 7996480 8796128 10395424 10995160 12994280 14293708 15992960 17592256 17867135 20790848 21990320 25988560 28587416 35184512 35734270 41581696 43980640 51977120 57174832 71468540 87961280 103954240 114349664 142937080 175922560 207908480 228699328 285874160 457398656 571748320 1143496640 2286993280