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2144446160 = 245193138889
BaseRepresentation
bin111111111010001…
…1010011011010000
312112110011011002212
41333310122123100
513342434234120
6552442531252
7104066330423
oct17764323320
95473134085
102144446160
11a0053615a
124ba206b28
1328238036c
14164b399ba
15c83e66c5
hex7fd1a6d0

2144446160 has 40 divisors (see below), whose sum is σ = 5011706760. Its totient is φ = 853327872.

The previous prime is 2144446159. The next prime is 2144446217. The reversal of 2144446160 is 616444412.

It can be written as a sum of positive squares in 4 ways, for example, as 78925456 + 2065520704 = 8884^2 + 45448^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54005 + ... + 84884.

It is an arithmetic number, because the mean of its divisors is an integer number (125292669).

Almost surely, 22144446160 is an apocalyptic number.

2144446160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144446160 is an abundant number, since it is smaller than the sum of its proper divisors (2867260600).

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

2144446160 is a wasteful number, since it uses less digits than its factorization.

2144446160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139095 (or 139089 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2144446160 is about 46308.1651547543. The cubic root of 2144446160 is about 1289.5505835881.

The spelling of 2144446160 in words is "two billion, one hundred forty-four million, four hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 138889 277778 555556 694445 1111112 1388890 2222224 2777780 5555560 11111120 26805577 53611154 107222308 134027885 214444616 268055770 428889232 536111540 1072223080 2144446160