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199191216 = 24371633637
BaseRepresentation
bin10111101111101…
…10101010110000
3111212210221222110
423313312222300
5401443104331
631433205320
74636045260
oct1367665260
9455727873
10199191216
11a2490344
1256860840
1332363133
141c6517a0
1512749946
hexbdf6ab0

199191216 has 80 divisors (see below), whose sum is σ = 591858944. Its totient is φ = 56547072.

The previous prime is 199191199. The next prime is 199191229. The reversal of 199191216 is 612191991.

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 15 ways as a sum of consecutive naturals, for example, 52950 + ... + 56586.

Almost surely, 2199191216 is an apocalyptic number.

199191216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199191216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295929472).

199191216 is an abundant number, since it is smaller than the sum of its proper divisors (392667728).

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

199191216 is a wasteful number, since it uses less digits than its factorization.

199191216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3812 counting only the distinct ones).

The product of its digits is 8748, while the sum is 39.

The square root of 199191216 is about 14113.5118237808. The cubic root of 199191216 is about 584.0141830546.

The spelling of 199191216 in words is "one hundred ninety-nine million, one hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 326 336 489 652 978 1141 1304 1956 2282 2608 3423 3637 3912 4564 6846 7274 7824 9128 10911 13692 14548 18256 21822 25459 27384 29096 43644 50918 54768 58192 76377 87288 101836 152754 174576 203672 305508 407344 592831 611016 1185662 1222032 1778493 2371324 3556986 4149817 4742648 7113972 8299634 9485296 12449451 14227944 16599268 24898902 28455888 33198536 49797804 66397072 99595608 199191216