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199814085 = 32513013413
BaseRepresentation
bin10111110100011…
…10101111000101
3111220222121101200
423322032233011
5402123022320
631454413113
74644251232
oct1372165705
9456877350
10199814085
11a2876309
1256b01199
13325207b3
141c774789
151281e290
hexbe8ebc5

199814085 has 24 divisors (see below), whose sum is σ = 346712184. Its totient is φ = 106454400.

The previous prime is 199814059. The next prime is 199814099. The reversal of 199814085 is 580418991.

It can be written as a sum of positive squares in 4 ways, for example, as 9622404 + 190191681 = 3102^2 + 13791^2 .

It is not a de Polignac number, because 199814085 - 29 = 199813573 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 199814085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56839 + ... + 60251.

It is an arithmetic number, because the mean of its divisors is an integer number (14446341).

Almost surely, 2199814085 is an apocalyptic number.

199814085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199814085 is a deficient number, since it is larger than the sum of its proper divisors (146898099).

199814085 is a wasteful number, since it uses less digits than its factorization.

199814085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 199814085 is about 14135.5610076148. The cubic root of 199814085 is about 584.6222852127.

The spelling of 199814085 in words is "one hundred ninety-nine million, eight hundred fourteen thousand, eighty-five".

Divisors: 1 3 5 9 15 45 1301 3413 3903 6505 10239 11709 17065 19515 30717 51195 58545 153585 4440313 13320939 22201565 39962817 66604695 199814085