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199316200 = 23528312007
BaseRepresentation
bin10111110000101…
…01001011101000
3111220001022102111
423320111023220
5402011104300
631440012104
74640105536
oct1370251350
9456038374
10199316200
11a2566236
1256901034
13323a7ca5
141c685156
15127719ba
hexbe152e8

199316200 has 48 divisors (see below), whose sum is σ = 469032480. Its totient is φ = 78759360.

The previous prime is 199316167. The next prime is 199316203. The reversal of 199316200 is 2613991.

199316200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199316203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10597 + ... + 22603.

It is an arithmetic number, because the mean of its divisors is an integer number (9771510).

Almost surely, 2199316200 is an apocalyptic number.

199316200 is a gapful number since it is divisible by the number (10) 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 199316200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234516240).

199316200 is an abundant number, since it is smaller than the sum of its proper divisors (269716280).

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

199316200 is a wasteful number, since it uses less digits than its factorization.

199316200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12106 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 199316200 is about 14117.9389430611. The cubic root of 199316200 is about 584.1363055204.

The spelling of 199316200 in words is "one hundred ninety-nine million, three hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1660 2075 3320 4150 8300 12007 16600 24014 48028 60035 96056 120070 240140 300175 480280 600350 996581 1200700 1993162 2401400 3986324 4982905 7972648 9965810 19931620 24914525 39863240 49829050 99658100 199316200