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199242405 = 3254427609
BaseRepresentation
bin10111110000000…
…11001010100101
3111212220120012100
423320003022211
5402001224110
631434242313
74636350435
oct1370031245
9455816170
10199242405
11a251584a
1256886399
133238051b
141c6662c5
1512759bc0
hexbe032a5

199242405 has 12 divisors (see below), whose sum is σ = 345353580. Its totient is φ = 106262592.

The previous prime is 199242377. The next prime is 199242437. The reversal of 199242405 is 504242991.

199242405 is a `hidden beast` number, since 1 + 9 + 9 + 242 + 405 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78747876 + 120494529 = 8874^2 + 10977^2 .

It is not a de Polignac number, because 199242405 - 28 = 199242149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 199242405.

It is a congruent number.

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, 2213760 + ... + 2213849.

It is an arithmetic number, because the mean of its divisors is an integer number (28779465).

Almost surely, 2199242405 is an apocalyptic number.

199242405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199242405 is a deficient number, since it is larger than the sum of its proper divisors (146111175).

199242405 is a wasteful number, since it uses less digits than its factorization.

199242405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427620 (or 4427617 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 199242405 is about 14115.3251822266. The cubic root of 199242405 is about 584.0642062469.

The spelling of 199242405 in words is "one hundred ninety-nine million, two hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 45 4427609 13282827 22138045 39848481 66414135 199242405