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2184950040 = 2335713200087
BaseRepresentation
bin1000001000111011…
…1011000100011000
312122021100221222120
42002032323010120
513433321400130
61000451021240
7105100524510
oct20216730430
95567327876
102184950040
11a21390339
1250b89a820
1328a892360
1416a280840
15cbc47910
hex823bb118

2184950040 has 128 divisors (see below), whose sum is σ = 8067548160. Its totient is φ = 460998144.

The previous prime is 2184949999. The next prime is 2184950051. The reversal of 2184950040 is 400594812.

It is a junction number, because it is equal to n+sod(n) for n = 2184949983 and 2184950010.

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 31 ways as a sum of consecutive naturals, for example, 89124 + ... + 110963.

It is an arithmetic number, because the mean of its divisors is an integer number (63027720).

Almost surely, 22184950040 is an apocalyptic number.

2184950040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2184950040 is an abundant number, since it is smaller than the sum of its proper divisors (5882598120).

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

2184950040 is a wasteful number, since it uses less digits than its factorization.

2184950040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200121 (or 200117 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2184950040 is about 46743.4491667014. The cubic root of 2184950040 is about 1297.6189235408.

The spelling of 2184950040 in words is "two billion, one hundred eighty-four million, nine hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 200087 400174 600261 800348 1000435 1200522 1400609 1600696 2000870 2401044 2601131 2801218 3001305 4001740 4201827 4802088 5202262 5602436 6002610 7003045 7803393 8003480 8403654 10404524 11204872 12005220 13005655 14006090 15606786 16807308 18207917 20809048 21009135 24010440 26011310 28012180 31213572 33614616 36415834 39016965 42018270 52022620 54623751 56024360 62427144 72831668 78033930 84036540 91039585 104045240 109247502 145663336 156067860 168073080 182079170 218495004 273118755 312135720 364158340 436990008 546237510 728316680 1092475020 2184950040