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2182130160 = 243571298887
BaseRepresentation
bin1000001000010000…
…1010100111110000
312122002001200211120
42002010022213300
513432111131120
61000310342240
7105034541340
oct20204124760
95562050746
102182130160
11a1a834761
1250a95a980
1328a1159a2
14169b48d20
15cb88c140
hex8210a9f0

2182130160 has 80 divisors (see below), whose sum is σ = 7730981376. Its totient is φ = 498772224.

The previous prime is 2182130141. The next prime is 2182130161. The reversal of 2182130160 is 610312812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2182130160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182130161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647764 + ... + 651123.

Almost surely, 22182130160 is an apocalyptic number.

2182130160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2182130160 is an abundant number, since it is smaller than the sum of its proper divisors (5548851216).

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

2182130160 is a wasteful number, since it uses less digits than its factorization.

2182130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298910 (or 1298904 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2182130160 is about 46713.2760572409. The cubic root of 2182130160 is about 1297.0604508280.

Adding to 2182130160 its reverse (610312812), we get a palindrome (2792442972).

The spelling of 2182130160 in words is "two billion, one hundred eighty-two million, one hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1298887 2597774 3896661 5195548 6494435 7793322 9092209 10391096 12988870 15586644 18184418 19483305 20782192 25977740 27276627 31173288 36368836 38966610 45461045 51955480 54553254 62346576 72737672 77933220 90922090 103910960 109106508 136383135 145475344 155866440 181844180 218213016 272766270 311732880 363688360 436426032 545532540 727376720 1091065080 2182130160