Search a number
-
+
2115183690 = 2325172296037
BaseRepresentation
bin111111000010011…
…0010010001001010
312110102002110112200
41332010302101022
513312441334230
6545515421030
7103262523204
oct17604622112
95412073480
102115183690
11995a698a4
124b0454776
132792a5ca9
14160cbd774
15c5a66160
hex7e13244a

2115183690 has 96 divisors (see below), whose sum is σ = 5849372880. Its totient is φ = 528463872.

The previous prime is 2115183677. The next prime is 2115183737. The reversal of 2115183690 is 963815112.

2115183690 is a `hidden beast` number, since 21 + 1 + 518 + 36 + 90 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1417748409 + 697435281 = 37653^2 + 26409^2 .

It is a super-2 number, since 2×21151836902 = 8948004084884032200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347352 + ... + 353388.

Almost surely, 22115183690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115183690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924686440).

2115183690 is an abundant number, since it is smaller than the sum of its proper divisors (3734189190).

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

2115183690 is a wasteful number, since it uses less digits than its factorization.

2115183690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2115183690 is about 45991.1262093026. The cubic root of 2115183690 is about 1283.6580923568.

The spelling of 2115183690 in words is "two billion, one hundred fifteen million, one hundred eighty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 229 255 306 458 510 687 765 1145 1374 1530 2061 2290 3435 3893 4122 6037 6870 7786 10305 11679 12074 18111 19465 20610 23358 30185 35037 36222 38930 54333 58395 60370 70074 90555 102629 108666 116790 175185 181110 205258 271665 307887 350370 513145 543330 615774 923661 1026290 1382473 1539435 1847322 2764946 3078870 4147419 4618305 6912365 8294838 9236610 12442257 13824730 20737095 23502041 24884514 41474190 47004082 62211285 70506123 117510205 124422570 141012246 211518369 235020410 352530615 423036738 705061230 1057591845 2115183690