Search a number
-
+
2281111200 = 253352105607
BaseRepresentation
bin1000011111110110…
…1111111010100000
312212222022110022000
42013331233322200
514132431024300
61014204044000
7110346060654
oct20775577240
95788273260
102281111200
11a7069a675
12537b33600
132a4790754
14178d52a64
15d53dec00
hex87f6fea0

2281111200 has 144 divisors (see below), whose sum is σ = 8250096960. Its totient is φ = 608290560.

The previous prime is 2281111199. The next prime is 2281111211. The reversal of 2281111200 is 21111822.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31204 + ... + 74403.

It is an arithmetic number, because the mean of its divisors is an integer number (57292340).

Almost surely, 22281111200 is an apocalyptic number.

2281111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2281111200 is an abundant number, since it is smaller than the sum of its proper divisors (5968985760).

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

2281111200 is a wasteful number, since it uses less digits than its factorization.

2281111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105636 (or 105617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 2281111200 is about 47760.9798894453. The cubic root of 2281111200 is about 1316.3826580365.

The spelling of 2281111200 in words is "two billion, two hundred eighty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 7200 10800 21600 105607 211214 316821 422428 528035 633642 844856 950463 1056070 1267284 1584105 1689712 1900926 2112140 2534568 2640175 2851389 3168210 3379424 3801852 4224280 4752315 5069136 5280350 5702778 6336420 7603704 7920525 8448560 9504630 10138272 10560700 11405556 12672840 14256945 15207408 15841050 16897120 19009260 21121400 22811112 23761575 25345680 28513890 30414816 31682100 38018520 42242800 45622224 47523150 50691360 57027780 63364200 71284725 76037040 84485600 91244448 95046300 114055560 126728400 142569450 152074080 190092600 228111120 253456800 285138900 380185200 456222240 570277800 760370400 1140555600 2281111200