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199185072 = 24313613049
BaseRepresentation
bin10111101111101…
…01001010110000
3111212210122112220
423313311022300
5401442410242
631433121040
74636021332
oct1367651260
9455718486
10199185072
11a2486769
1256859180
13323603b8
141c64d452
1512747bec
hexbdf52b0

199185072 has 40 divisors (see below), whose sum is σ = 515108400. Its totient is φ = 66324480.

The previous prime is 199185061. The next prime is 199185089. The reversal of 199185072 is 270581991.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63804 + ... + 66852.

It is an arithmetic number, because the mean of its divisors is an integer number (12877710).

Almost surely, 2199185072 is an apocalyptic number.

199185072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199185072 is an abundant number, since it is smaller than the sum of its proper divisors (315923328).

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

199185072 is a wasteful number, since it uses less digits than its factorization.

199185072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 199185072 is about 14113.2941583459. The cubic root of 199185072 is about 584.0081784055.

The spelling of 199185072 in words is "one hundred ninety-nine million, one hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1361 2722 3049 4083 5444 6098 8166 9147 10888 12196 16332 18294 21776 24392 32664 36588 48784 65328 73176 146352 4149689 8299378 12449067 16598756 24898134 33197512 49796268 66395024 99592536 199185072