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2100220200 = 2332521389753
BaseRepresentation
bin111110100101110…
…1101000100101000
312102100221020111100
41331023231010220
513300124021300
6544223001400
7103021401651
oct17513550450
95370836440
102100220200
11988579581
124a7439260
13276167160
1415cd06528
15c45ac700
hex7d2ed128

2100220200 has 144 divisors (see below), whose sum is σ = 7595881020. Its totient is φ = 516971520.

The previous prime is 2100220163. The next prime is 2100220207. The reversal of 2100220200 is 20220012.

2100220200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 699814116 + 1400406084 = 26454^2 + 37422^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2100220207) 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, 21477 + ... + 68276.

Almost surely, 22100220200 is an apocalyptic number.

2100220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100220200 is an abundant number, since it is smaller than the sum of its proper divisors (5495660820).

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

2100220200 is a wasteful number, since it uses less digits than its factorization.

2100220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89788 (or 89776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2100220200 is about 45828.1594655513. The cubic root of 2100220200 is about 1280.6239227140.

Adding to 2100220200 its reverse (20220012), we get a palindrome (2120440212).

The spelling of 2100220200 in words is "two billion, one hundred million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 89753 179506 269259 359012 448765 538518 718024 807777 897530 1077036 1166789 1346295 1615554 1795060 2154072 2243825 2333578 2692590 3231108 3500367 3590120 4038885 4487650 4667156 5385180 5833945 6462216 6731475 7000734 8077770 8975300 9334312 10501101 10770360 11667890 13462950 14001468 16155540 17501835 17950600 20194425 21002202 23335780 26925900 28002936 29169725 32311080 35003670 40388850 42004404 46671560 52505505 53851800 58339450 70007340 80777700 84008808 87509175 105011010 116678900 140014680 161555400 175018350 210022020 233357800 262527525 350036700 420044040 525055050 700073400 1050110100 2100220200