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2100605220 = 2232571667147
BaseRepresentation
bin111110100110100…
…1011000100100100
312102101122210122100
41331031023010210
513300223331340
6544235132100
7103024564320
oct17515130444
95371583570
102100605220
1198881187a
124a75a4030
1327627048c
1415cda6980
15c4636830
hex7d34b124

2100605220 has 72 divisors (see below), whose sum is σ = 7282102464. Its totient is φ = 480138048.

The previous prime is 2100605201. The next prime is 2100605237. The reversal of 2100605220 is 225060012.

2100605220 is digitally balanced in base 6, because in such base 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 2100605193 and 2100605202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832314 + ... + 834833.

It is an arithmetic number, because the mean of its divisors is an integer number (101140312).

Almost surely, 22100605220 is an apocalyptic number.

2100605220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100605220 is an abundant number, since it is smaller than the sum of its proper divisors (5181497244).

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

2100605220 is a wasteful number, since it uses less digits than its factorization.

2100605220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667169 (or 1667164 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2100605220 is about 45832.3599654218. The cubic root of 2100605220 is about 1280.7021741430.

Adding to 2100605220 its reverse (225060012), we get a palindrome (2325665232).

The spelling of 2100605220 in words is "two billion, one hundred million, six hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1667147 3334294 5001441 6668588 8335735 10002882 11670029 15004323 16671470 20005764 23340058 25007205 30008646 33342940 35010087 46680116 50014410 58350145 60017292 70020174 75021615 100028820 105030261 116700290 140040348 150043230 175050435 210060522 233400580 300086460 350100870 420121044 525151305 700201740 1050302610 2100605220