Search a number
-
+
2286682080 = 253523207127
BaseRepresentation
bin1000100001001011…
…1111111111100000
312220100210111002220
42020102333333200
514140342311310
61014523311040
7110444322414
oct21022777740
95810714086
102286682080
11a73855101
1253997b480
132a5991327
141799a2d44
15d5b40670
hex884bffe0

2286682080 has 96 divisors (see below), whose sum is σ = 7516260864. Its totient is φ = 583266816.

The previous prime is 2286682067. The next prime is 2286682081. The reversal of 2286682080 is 802866822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286682081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92524 + ... + 114603.

It is an arithmetic number, because the mean of its divisors is an integer number (78294384).

Almost surely, 22286682080 is an apocalyptic number.

2286682080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2286682080 is an abundant number, since it is smaller than the sum of its proper divisors (5229578784).

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

2286682080 is a wasteful number, since it uses less digits than its factorization.

2286682080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207168 (or 207160 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2286682080 is about 47819.2647371329. The cubic root of 2286682080 is about 1317.4534005292.

The spelling of 2286682080 in words is "two billion, two hundred eighty-six million, six hundred eighty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 207127 414254 621381 828508 1035635 1242762 1657016 2071270 2485524 3106905 3314032 4142540 4763921 4971048 6213810 6628064 8285080 9527842 9942096 12427620 14291763 16570160 19055684 19884192 23819605 24855240 28583526 33140320 38111368 47639210 49710480 57167052 71458815 76222736 95278420 99420960 114334104 142917630 152445472 190556840 228668208 285835260 381113680 457336416 571670520 762227360 1143341040 2286682080