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199224279696 = 243131915772897
BaseRepresentation
bin1011100110001010110…
…0010100001010010000
3201001020021122000021210
42321202230110022100
511231002403422241
6231304455420120
720251651302531
oct2714254241220
9631207560253
10199224279696
1177543a04042
123273b984640
1315a2c6ba690
1498dd076688
1552b02e6316
hex2e62b14290

199224279696 has 160 divisors (see below), whose sum is σ = 558312265728. Its totient is φ = 60852142080.

The previous prime is 199224279679. The next prime is 199224279697. The reversal of 199224279696 is 696972422991.

It is not an unprimeable number, because it can be changed into a prime (199224279697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68767720 + ... + 68770616.

Almost surely, 2199224279696 is an apocalyptic number.

199224279696 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 199224279696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279156132864).

199224279696 is an abundant number, since it is smaller than the sum of its proper divisors (359087986032).

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

199224279696 is a wasteful number, since it uses less digits than its factorization.

199224279696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3683 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 66.

The spelling of 199224279696 in words is "one hundred ninety-nine billion, two hundred twenty-four million, two hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 191 208 312 382 573 577 624 764 1146 1154 1528 1731 2292 2308 2483 2897 3056 3462 4584 4616 4966 5794 6924 7449 7501 8691 9168 9232 9932 11588 13848 14898 15002 17382 19864 22503 23176 27696 29796 30004 34764 37661 39728 45006 46352 59592 60008 69528 75322 90012 110207 112983 119184 120016 139056 150644 180024 220414 225966 301288 330621 360048 440828 451932 553327 602576 661242 881656 903864 1106654 1322484 1432691 1659981 1671569 1763312 1807728 2213308 2644968 2865382 3319962 3343138 4298073 4426616 5014707 5289936 5730764 6639924 6686276 7193251 8596146 8853232 10029414 11461528 13279848 13372552 14386502 17192292 20058828 21579753 21730397 22923056 26559696 26745104 28773004 34384584 40117656 43159506 43460794 57546008 65191191 68769168 80235312 86319012 86921588 115092016 130382382 172638024 173843176 260764764 319269679 345276048 347686352 521529528 638539358 957809037 1043059056 1277078716 1915618074 2554157432 3831236148 4150505827 5108314864 7662472296 8301011654 12451517481 15324944592 16602023308 24903034962 33204046616 49806069924 66408093232 99612139848 199224279696