Search a number
-
+
2281234560 = 273511108013
BaseRepresentation
bin1000011111111000…
…1110000010000000
312212222112201111220
42013332032002000
514132444001220
61014210435040
7110350113423
oct20776160200
95788481456
102281234560
11a70774320
12537b92a80
132a4804947
14178d859ba
15d5416540
hex87f8e080

2281234560 has 128 divisors (see below), whose sum is σ = 7932548160. Its totient is φ = 553021440.

The previous prime is 2281234523. The next prime is 2281234583. The reversal of 2281234560 is 654321822.

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

It is a super-2 number, since 2×22812345602 = 10408062235476787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 32887 + ... + 75126.

Almost surely, 22281234560 is an apocalyptic number.

2281234560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2281234560 is an abundant number, since it is smaller than the sum of its proper divisors (5651313600).

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

2281234560 is a wasteful number, since it uses less digits than its factorization.

2281234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108046 (or 108034 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2281234560 is about 47762.2713027762. The cubic root of 2281234560 is about 1316.4063871205.

The spelling of 2281234560 in words is "two billion, two hundred eighty-one million, two hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 108013 216026 324039 432052 540065 648078 864104 1080130 1188143 1296156 1620195 1728208 2160260 2376286 2592312 3240390 3456416 3564429 4320520 4752572 5184624 5940715 6480780 6912832 7128858 8641040 9505144 10369248 11881430 12961560 13825664 14257716 17282080 17822145 19010288 20738496 23762860 25923120 28515432 34564160 35644290 38020576 41476992 47525720 51846240 57030864 69128320 71288580 76041152 95051440 103692480 114061728 142577160 152082304 190102880 207384960 228123456 285154320 380205760 456246912 570308640 760411520 1140617280 2281234560