Search a number
-
+
199108100 = 22523753813
BaseRepresentation
bin10111101111000…
…10011000000100
3111212122201222002
423313202120010
5401432424400
631431324432
74635251042
oct1367423004
9455581862
10199108100
11a2433954
1256820718
1332334359
141c62d392
151272eed5
hexbde2604

199108100 has 36 divisors (see below), whose sum is σ = 443750244. Its totient is φ = 77489280.

The previous prime is 199108093. The next prime is 199108127. The reversal of 199108100 is 1801991.

It can be written as a sum of positive squares in 6 ways, for example, as 2715904 + 196392196 = 1648^2 + 14014^2 .

It is a super-2 number, since 2×1991081002 = 79288070971220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23207 + ... + 30606.

Almost surely, 2199108100 is an apocalyptic number.

199108100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199108100 is an abundant number, since it is smaller than the sum of its proper divisors (244642144).

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

199108100 is a wasteful number, since it uses less digits than its factorization.

199108100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53864 (or 53857 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 29.

The square root of 199108100 is about 14110.5669623867. The cubic root of 199108100 is about 583.9329417279.

The spelling of 199108100 in words is "one hundred ninety-nine million, one hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 53813 107626 215252 269065 538130 1076260 1345325 1991081 2690650 3982162 5381300 7964324 9955405 19910810 39821620 49777025 99554050 199108100