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2168289900 = 2232527344173
BaseRepresentation
bin1000000100111101…
…0111101001101100
312121010000112120100
42001033113221230
513420040234100
6555053551100
7104506105620
oct20117275154
95533015510
102168289900
11a12a41327
125061a5490
132872ab19a
14167d85180
15ca556400
hex813d7a6c

2168289900 has 108 divisors (see below), whose sum is σ = 7767318832. Its totient is φ = 495607680.

The previous prime is 2168289887. The next prime is 2168289901. The reversal of 2168289900 is 99828612.

2168289900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2168289901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165787 + ... + 178386.

Almost surely, 22168289900 is an apocalyptic number.

2168289900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2168289900 is an abundant number, since it is smaller than the sum of its proper divisors (5599028932).

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

2168289900 is a wasteful number, since it uses less digits than its factorization.

2168289900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344200 (or 344190 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2168289900 is about 46564.8998710402. The cubic root of 2168289900 is about 1294.3124110812.

The spelling of 2168289900 in words is "two billion, one hundred sixty-eight million, two hundred eighty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 344173 688346 1032519 1376692 1720865 2065038 2409211 3097557 3441730 4130076 4818422 5162595 6195114 6883460 7227633 8604325 9636844 10325190 12046055 12390228 14455266 15487785 17208650 20650380 21682899 24092110 25812975 28910532 30975570 34417300 36138165 43365798 48184220 51625950 60230275 61951140 72276330 77438925 86731596 103251900 108414495 120460550 144552660 154877850 180690825 216828990 240921100 309755700 361381650 433657980 542072475 722763300 1084144950 2168289900