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199999332 = 223213271463
BaseRepresentation
bin10111110101110…
…11111101100100
3111221100000111200
423322323331210
5402144434312
631502402500
74645652301
oct1372737544
9457300450
10199999332
11a2992505
1256b90430
1332586c00
141c7c20a8
15128590dc
hexbebbf64

199999332 has 108 divisors (see below), whose sum is σ = 556343424. Its totient is φ = 60540480.

The previous prime is 199999309. The next prime is 199999333. The reversal of 199999332 is 233999991.

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

It is not an unprimeable number, because it can be changed into a prime (199999333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 431733 + ... + 432195.

It is an arithmetic number, because the mean of its divisors is an integer number (5151328).

Almost surely, 2199999332 is an apocalyptic number.

199999332 is a gapful number since it is divisible by the number (12) 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 199999332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278171712).

199999332 is an abundant number, since it is smaller than the sum of its proper divisors (356344092).

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

199999332 is a wasteful number, since it uses less digits than its factorization.

199999332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 552 counting only the distinct ones).

The product of its digits is 1062882, while the sum is 54.

The square root of 199999332 is about 14142.1120063447. The cubic root of 199999332 is about 584.8028965606.

The spelling of 199999332 in words is "one hundred ninety-nine million, nine hundred ninety-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 169 213 234 284 338 426 463 468 507 639 676 852 923 926 1014 1278 1389 1521 1846 1852 2028 2556 2769 2778 3042 3692 4167 5538 5556 6019 6084 8307 8334 11076 11999 12038 16614 16668 18057 23998 24076 32873 33228 35997 36114 47996 54171 65746 71994 72228 78247 98619 107991 108342 131492 143988 156494 197238 215982 216684 234741 295857 312988 394476 427349 431964 469482 591714 704223 854698 938964 1183428 1282047 1408446 1709396 2564094 2816892 3846141 5128188 5555537 7692282 11111074 15384564 16666611 22222148 33333222 49999833 66666444 99999666 199999332