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2144886240 = 25357638359
BaseRepresentation
bin111111111011000…
…0101110111100000
312112110222111210010
41333312011313200
513343042324430
6552500204520
7104103142440
oct17766056740
95473874703
102144886240
11a00806862
124ba399740
132824a5773
14164c12120
15c8481cb0
hex7fd85de0

2144886240 has 96 divisors (see below), whose sum is σ = 7721602560. Its totient is φ = 490258944.

The previous prime is 2144886199. The next prime is 2144886241. The reversal of 2144886240 is 426884412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144886241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 315820 + ... + 322539.

It is an arithmetic number, because the mean of its divisors is an integer number (80433360).

Almost surely, 22144886240 is an apocalyptic number.

2144886240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144886240 is an abundant number, since it is smaller than the sum of its proper divisors (5576716320).

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

2144886240 is a wasteful number, since it uses less digits than its factorization.

2144886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638384 (or 638376 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 2144886240 is about 46312.9165568311. The cubic root of 2144886240 is about 1289.6387907618.

The spelling of 2144886240 in words is "two billion, one hundred forty-four million, eight hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 638359 1276718 1915077 2553436 3191795 3830154 4468513 5106872 6383590 7660308 8937026 9575385 10213744 12767180 13405539 15320616 17874052 19150770 20427488 22342565 25534360 26811078 30641232 35748104 38301540 44685130 51068720 53622156 61282464 67027695 71496208 76603080 89370260 102137440 107244312 134055390 142992416 153206160 178740520 214488624 268110780 306412320 357481040 428977248 536221560 714962080 1072443120 2144886240