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199991916 = 2235613373
BaseRepresentation
bin10111110101110…
…10001001101100
3111221022122100000
423322322021230
5402144220131
631502304300
74645621545
oct1372721154
9457278300
10199991916
11a2987983
1256b88090
1332583717
141c7bd4cc
1512856ce6
hexbeba26c

199991916 has 72 divisors (see below), whose sum is σ = 533011024. Its totient is φ = 65551680.

The previous prime is 199991837. The next prime is 199991941. The reversal of 199991916 is 619199991.

199991916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57606 + ... + 60978.

Almost surely, 2199991916 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 199991916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266505512).

199991916 is an abundant number, since it is smaller than the sum of its proper divisors (333019108).

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

199991916 is a wasteful number, since it uses less digits than its factorization.

199991916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3439 counting only the distinct ones).

The product of its digits is 354294, while the sum is 54.

The square root of 199991916 is about 14141.8498082818. The cubic root of 199991916 is about 584.7956682833.

The spelling of 199991916 in words is "one hundred ninety-nine million, nine hundred ninety-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 732 972 1098 1647 2196 3294 3373 4941 6588 6746 9882 10119 13492 14823 19764 20238 29646 30357 40476 59292 60714 91071 121428 182142 205753 273213 364284 411506 546426 617259 819639 823012 1092852 1234518 1639278 1851777 2469036 3278556 3703554 5555331 7407108 11110662 16665993 22221324 33331986 49997979 66663972 99995958 199991916