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2099390085 = 325131929941
BaseRepresentation
bin111110100100010…
…0010011010000101
312102022101001210100
41331020202122011
513244420440320
6544153114313
7103011343542
oct17510423205
95368331710
102099390085
11988061931
124a70b8999
13275c36370
1415cb6bbc9
15c4496790
hex7d222685

2099390085 has 72 divisors (see below), whose sum is σ = 4136388984. Its totient is φ = 979050240.

The previous prime is 2099390077. The next prime is 2099390087. The reversal of 2099390085 is 5800939902.

It can be written as a sum of positive squares in 4 ways, for example, as 137874564 + 1961515521 = 11742^2 + 44289^2 .

It is not a de Polignac number, because 2099390085 - 23 = 2099390077 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2099390085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099390087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206215 + ... + 216155.

It is an arithmetic number, because the mean of its divisors is an integer number (57449847).

Almost surely, 22099390085 is an apocalyptic number.

It is an amenable number.

2099390085 is a deficient number, since it is larger than the sum of its proper divisors (2036998899).

2099390085 is a wasteful number, since it uses less digits than its factorization.

2099390085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003 (or 9981 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 2099390085 is about 45819.1017480701. The cubic root of 2099390085 is about 1280.4551776751.

The spelling of 2099390085 in words is "two billion, ninety-nine million, three hundred ninety thousand, eighty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 247 285 361 585 741 855 1083 1235 1805 2223 3249 3705 4693 5415 9941 11115 14079 16245 23465 29823 42237 49705 70395 89469 129233 149115 188879 211185 387699 447345 566637 646165 944395 1163097 1699911 1938495 2455427 2833185 3588701 5815485 7366281 8499555 10766103 12277135 17943505 22098843 32298309 36831405 46653113 53830515 110494215 139959339 161491545 233265565 419878017 699796695 2099390085