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2099550208 = 21171371069
BaseRepresentation
bin111110100100100…
…1001100000000000
312102022200012102211
41331021021200000
513244441101313
6544200351504
7103012611430
oct17511114000
95368605384
102099550208
11988161168
124a7175594
13275c91202
1415cbb02c0
15c44c8e3d
hex7d249800

2099550208 has 96 divisors (see below), whose sum is σ = 4837341600. Its totient is φ = 892403712.

The previous prime is 2099550203. The next prime is 2099550221. The reversal of 2099550208 is 8020559902.

It is a super-2 number, since 2×20995502082 = 8816222151825686528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099550203) 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 7 ways as a sum of consecutive naturals, for example, 1963498 + ... + 1964566.

It is an arithmetic number, because the mean of its divisors is an integer number (50388975).

Almost surely, 22099550208 is an apocalyptic number.

2099550208 is a gapful number since it is divisible by the number (28) 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 2099550208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418670800).

2099550208 is an abundant number, since it is smaller than the sum of its proper divisors (2737791392).

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

2099550208 is a wasteful number, since it uses less digits than its factorization.

2099550208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 2099550208 is about 45820.8490536786. The cubic root of 2099550208 is about 1280.4877307983.

The spelling of 2099550208 in words is "two billion, ninety-nine million, five hundred fifty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 256 274 448 512 548 896 959 1024 1069 1096 1792 1918 2048 2138 2192 3584 3836 4276 4384 7168 7483 7672 8552 8768 14336 14966 15344 17104 17536 29932 30688 34208 35072 59864 61376 68416 70144 119728 122752 136832 140288 146453 239456 245504 273664 280576 292906 478912 491008 547328 585812 957824 982016 1025171 1094656 1171624 1915648 1964032 2050342 2189312 2343248 3831296 4100684 4686496 7662592 8201368 9372992 15325184 16402736 18745984 32805472 37491968 65610944 74983936 131221888 149967872 262443776 299935744 524887552 1049775104 2099550208