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2284104060 = 2232571919491
BaseRepresentation
bin1000100000100100…
…1010100101111100
312220011221111201200
42020021022211330
514134212312220
61014352135500
7110413364340
oct21011124574
95804844650
102284104060
11a72354207
12538b37590
132a529aa84
141794d1620
15d57d1890
hex8824a97c

2284104060 has 144 divisors (see below), whose sum is σ = 7960522752. Its totient is φ = 519292800.

The previous prime is 2284104049. The next prime is 2284104127. The reversal of 2284104060 is 604014822.

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 47 ways as a sum of consecutive naturals, for example, 235915 + ... + 245405.

It is an arithmetic number, because the mean of its divisors is an integer number (55281408).

Almost surely, 22284104060 is an apocalyptic number.

2284104060 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 2284104060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980261376).

2284104060 is an abundant number, since it is smaller than the sum of its proper divisors (5676418692).

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

2284104060 is a wasteful number, since it uses less digits than its factorization.

2284104060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9704 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2284104060 is about 47792.3012628603. The cubic root of 2284104060 is about 1316.9581125561.

Adding to 2284104060 its reverse (604014822), we get a palindrome (2888118882).

The spelling of 2284104060 in words is "two billion, two hundred eighty-four million, one hundred four thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 191 210 252 315 382 420 573 630 764 955 1146 1260 1337 1719 1910 2292 2674 2865 3438 3820 4011 5348 5730 6685 6876 8022 8595 9491 11460 12033 13370 16044 17190 18982 20055 24066 26740 28473 34380 37964 40110 47455 48132 56946 60165 66437 80220 85419 94910 113892 120330 132874 142365 170838 189820 199311 240660 265748 284730 332185 341676 398622 427095 569460 597933 664370 797244 854190 996555 1195866 1328740 1708380 1812781 1993110 2391732 2989665 3625562 3986220 5438343 5979330 7251124 9063905 10876686 11958660 12689467 16315029 18127810 21753372 25378934 27191715 32630058 36255620 38068401 50757868 54383430 63447335 65260116 76136802 81575145 108766860 114205203 126894670 152273604 163150290 190342005 228410406 253789340 326300580 380684010 456820812 571026015 761368020 1142052030 2284104060