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199601955 = 3357211219
BaseRepresentation
bin10111110010110…
…10111100100011
3111220120211102000
423321122330203
5402044230310
631450055043
74642405620
oct1371327443
9456524360
10199601955
11a27409a3
1256a1a483
1332478087
141c71b347
15127cb4c0
hexbe5af23

199601955 has 32 divisors (see below), whose sum is σ = 405542400. Its totient is φ = 91246176.

The previous prime is 199601923. The next prime is 199601959. The reversal of 199601955 is 559106991.

It is a happy number.

It is not a de Polignac number, because 199601955 - 25 = 199601923 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199601955.

It is not an unprimeable number, because it can be changed into a prime (199601959) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 104665 + ... + 106554.

It is an arithmetic number, because the mean of its divisors is an integer number (12673200).

Almost surely, 2199601955 is an apocalyptic number.

199601955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199601955 is an abundant number, since it is smaller than the sum of its proper divisors (205940445).

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

199601955 is a wasteful number, since it uses less digits than its factorization.

199601955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211240 (or 211234 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 45.

The square root of 199601955 is about 14128.0555987015. The cubic root of 199601955 is about 584.4153264325.

The spelling of 199601955 in words is "one hundred ninety-nine million, six hundred one thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 211219 633657 1056095 1478533 1900971 3168285 4435599 5702913 7392665 9504855 13306797 22177995 28514565 39920391 66533985 199601955