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2116447300 = 22521121710289
BaseRepresentation
bin111111000100110…
…0110110001000100
312110111110122220001
41332021212301010
513313302303200
6550002451044
7103306335202
oct17611466104
95414418801
102116447300
11996752200
124b0963a84
132796291a6
1416112c072
15c5c1576a
hex7e266c44

2116447300 has 108 divisors (see below), whose sum is σ = 5345634420. Its totient is φ = 724275200.

The previous prime is 2116447273. The next prime is 2116447301. The reversal of 2116447300 is 37446112.

It can be written as a sum of positive squares in 6 ways, for example, as 110124036 + 2006323264 = 10494^2 + 44792^2 .

It is not an unprimeable number, because it can be changed into a prime (2116447301) 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, 200556 + ... + 210844.

It is an arithmetic number, because the mean of its divisors is an integer number (49496615).

Almost surely, 22116447300 is an apocalyptic number.

2116447300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116447300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672817210).

2116447300 is an abundant number, since it is smaller than the sum of its proper divisors (3229187120).

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

2116447300 is a wasteful number, since it uses less digits than its factorization.

2116447300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2116447300 is about 46004.8616996074. The cubic root of 2116447300 is about 1283.9136604373.

The spelling of 2116447300 in words is "two billion, one hundred sixteen million, four hundred forty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 121 170 187 220 242 275 340 374 425 484 550 605 748 850 935 1100 1210 1700 1870 2057 2420 3025 3740 4114 4675 6050 8228 9350 10285 10289 12100 18700 20570 20578 41140 41156 51425 51445 102850 102890 113179 174913 205700 205780 226358 257225 349826 452716 514450 565895 699652 874565 1028900 1131790 1244969 1749130 1924043 2263580 2489938 2829475 3498260 3848086 4372825 4979876 5658950 6224845 7696172 8745650 9620215 11317900 12449690 17491300 19240430 21164473 24899380 31124225 38480860 42328946 48101075 62248450 84657892 96202150 105822365 124496900 192404300 211644730 423289460 529111825 1058223650 2116447300