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199169664 = 2735091019
BaseRepresentation
bin10111101111100…
…01011010000000
3111212202212102020
423313301122000
5401441412124
631432521440
74635625401
oct1367613200
9455685366
10199169664
11a2476131
1256850280
1332356395
141c6479a8
1512743379
hexbdf1680

199169664 has 64 divisors (see below), whose sum is σ = 530604000. Its totient is φ = 66194432.

The previous prime is 199169617. The next prime is 199169669. The reversal of 199169664 is 466961991.

199169664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (199169669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194947 + ... + 195965.

Almost surely, 2199169664 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 199169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265302000).

199169664 is an abundant number, since it is smaller than the sum of its proper divisors (331434336).

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

199169664 is a wasteful number, since it uses less digits than its factorization.

199169664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1533 counting only the distinct ones).

The product of its digits is 629856, while the sum is 51.

The square root of 199169664 is about 14112.7482794812. The cubic root of 199169664 is about 583.9931193285.

The spelling of 199169664 in words is "one hundred ninety-nine million, one hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 509 1018 1019 1527 2036 2038 3054 3057 4072 4076 6108 6114 8144 8152 12216 12228 16288 16304 24432 24456 32576 32608 48864 48912 65152 65216 97728 97824 130432 195456 195648 391296 518671 1037342 1556013 2074684 3112026 4149368 6224052 8298736 12448104 16597472 24896208 33194944 49792416 66389888 99584832 199169664