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199828005 = 35133532903
BaseRepresentation
bin10111110100100…
…10001000100101
3111221000022111020
423322102020211
5402123444010
631455001353
74644336636
oct1372221045
9457008436
10199828005
11a2885813
1256b09259
1332526c30
141c77988d
1512823470
hexbe92225

199828005 has 32 divisors (see below), whose sum is σ = 345413376. Its totient is φ = 98064384.

The previous prime is 199828003. The next prime is 199828007. The reversal of 199828005 is 500828991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199828003) and next prime (199828007).

It is not a de Polignac number, because 199828005 - 21 = 199828003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199828003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67384 + ... + 70286.

It is an arithmetic number, because the mean of its divisors is an integer number (10794168).

Almost surely, 2199828005 is an apocalyptic number.

199828005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199828005 is a deficient number, since it is larger than the sum of its proper divisors (145585371).

199828005 is a wasteful number, since it uses less digits than its factorization.

199828005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277.

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 199828005 is about 14136.0533742626. The cubic root of 199828005 is about 584.6358607542.

It can be divided in two parts, 1998 and 28005, that added together give a palindrome (30003).

The spelling of 199828005 in words is "one hundred ninety-nine million, eight hundred twenty-eight thousand, five".

Divisors: 1 3 5 13 15 39 65 195 353 1059 1765 2903 4589 5295 8709 13767 14515 22945 37739 43545 68835 113217 188695 566085 1024759 3074277 5123795 13321867 15371385 39965601 66609335 199828005