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199320352 = 25711411973
BaseRepresentation
bin10111110000101…
…10001100100000
3111220001112010021
423320112030200
5402011222402
631440043224
74640123620
oct1370261440
9456045107
10199320352
11a2569370
1256903514
13323a9b4a
141c686880
1512772d37
hexbe16320

199320352 has 96 divisors (see below), whose sum is σ = 501427584. Its totient is φ = 75724800.

The previous prime is 199320337. The next prime is 199320379. The reversal of 199320352 is 253023991.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100038 + ... + 102010.

It is an arithmetic number, because the mean of its divisors is an integer number (5223204).

Almost surely, 2199320352 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 199320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250713792).

199320352 is an abundant number, since it is smaller than the sum of its proper divisors (302107232).

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

199320352 is a wasteful number, since it uses less digits than its factorization.

199320352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 199320352 is about 14118.0859892551. The cubic root of 199320352 is about 584.1403615833.

The spelling of 199320352 in words is "one hundred ninety-nine million, three hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 77 82 88 112 154 164 176 224 287 308 328 352 451 574 616 656 902 1148 1232 1312 1804 1973 2296 2464 3157 3608 3946 4592 6314 7216 7892 9184 12628 13811 14432 15784 21703 25256 27622 31568 43406 50512 55244 63136 80893 86812 101024 110488 151921 161786 173624 220976 303842 323572 347248 441952 566251 607684 647144 694496 889823 1132502 1215368 1294288 1779646 2265004 2430736 2588576 3559292 4530008 4861472 6228761 7118584 9060016 12457522 14237168 18120032 24915044 28474336 49830088 99660176 199320352