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2050194000 = 243531911789
BaseRepresentation
bin111101000110011…
…0111101001010000
312021212210122110010
41322030313221100
513144322202000
6535234434520
7101543234661
oct17214675120
95255718403
102050194000
11962310108
12492732a40
1326899cb5a
14156403368
15beec9d50
hex7a337a50

2050194000 has 160 divisors (see below), whose sum is σ = 6648145920. Its totient is φ = 543552000.

The previous prime is 2050193969. The next prime is 2050194001. The reversal of 2050194000 is 4910502.

2050194000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050194001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1145106 + ... + 1146894.

It is an arithmetic number, because the mean of its divisors is an integer number (41550912).

Almost surely, 22050194000 is an apocalyptic number.

2050194000 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 2050194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324072960).

2050194000 is an abundant number, since it is smaller than the sum of its proper divisors (4597951920).

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

2050194000 is a wasteful number, since it uses less digits than its factorization.

2050194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2050194000 is about 45279.0680116100. The cubic root of 2050194000 is about 1270.3741638360.

The spelling of 2050194000 in words is "two billion, fifty million, one hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 191 200 240 250 300 375 382 400 500 573 600 750 764 955 1000 1146 1200 1500 1528 1789 1910 2000 2292 2865 3000 3056 3578 3820 4584 4775 5367 5730 6000 7156 7640 8945 9168 9550 10734 11460 14312 14325 15280 17890 19100 21468 22920 23875 26835 28624 28650 35780 38200 42936 44725 45840 47750 53670 57300 71560 71625 76400 85872 89450 95500 107340 114600 134175 143120 143250 178900 191000 214680 223625 229200 268350 286500 341699 357800 382000 429360 447250 536700 573000 670875 683398 715600 894500 1025097 1073400 1146000 1341750 1366796 1708495 1789000 2050194 2146800 2683500 2733592 3416990 3578000 4100388 5125485 5367000 5467184 6833980 8200776 8542475 10250970 10734000 13667960 16401552 17084950 20501940 25627425 27335920 34169900 41003880 42712375 51254850 68339800 82007760 85424750 102509700 128137125 136679600 170849500 205019400 256274250 341699000 410038800 512548500 683398000 1025097000 2050194000