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199999968 = 25372174161
BaseRepresentation
bin10111110101111…
…00000111100000
3111221100001101020
423322330013200
5402144444333
631502405440
74645654200
oct1372740740
9457301336
10199999968
11a2992a33
1256b90880
133258729c
141c7c2400
15128593b3
hexbebc1e0

199999968 has 288 divisors, whose sum is σ = 673269408. Its totient is φ = 51609600.

The previous prime is 199999963. The next prime is 199999991. The reversal of 199999968 is 869999991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199999963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3278658 + ... + 3278718.

It is an arithmetic number, because the mean of its divisors is an integer number (2337741).

Almost surely, 2199999968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336634704).

199999968 is an abundant number, since it is smaller than the sum of its proper divisors (473269440).

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

199999968 is a wasteful number, since it uses less digits than its factorization.

199999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 25509168, while the sum is 69.

The square root of 199999968 is about 14142.1344923601. The cubic root of 199999968 is about 584.8035164530.

The spelling of 199999968 in words is "one hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred sixty-eight".