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199790328 = 233231133203
BaseRepresentation
bin10111110100010…
…00111011111000
3111220221101210210
423322020323320
5402121242303
631454111120
74644122043
oct1372107370
9456841723
10199790328
11a285a481
1256aab4a0
1332512a3a
141c769c5a
1512817203
hexbe88ef8

199790328 has 64 divisors (see below), whose sum is σ = 525968640. Its totient is φ = 63117824.

The previous prime is 199790323. The next prime is 199790329. The reversal of 199790328 is 823097991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199790323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60775 + ... + 63977.

It is an arithmetic number, because the mean of its divisors is an integer number (8218260).

Almost surely, 2199790328 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 199790328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262984320).

199790328 is an abundant number, since it is smaller than the sum of its proper divisors (326178312).

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

199790328 is a wasteful number, since it uses less digits than its factorization.

199790328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 199790328 is about 14134.7206551810. The cubic root of 199790328 is about 584.5991146371.

The spelling of 199790328 in words is "one hundred ninety-nine million, seven hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 113 138 184 226 276 339 452 552 678 904 1356 2599 2712 3203 5198 6406 7797 9609 10396 12812 15594 19218 20792 25624 31188 38436 62376 73669 76872 147338 221007 294676 361939 442014 589352 723878 884028 1085817 1447756 1768056 2171634 2895512 4343268 8324597 8686536 16649194 24973791 33298388 49947582 66596776 99895164 199790328