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199989888 = 2737471583
BaseRepresentation
bin10111110101110…
…01101010000000
3111221022112112220
423322321222000
5402144134023
631502251040
74645612620
oct1372715200
9457275486
10199989888
11a29863aa
1256b86a80
1332582817
141c7bc880
15128563e3
hexbeb9a80

199989888 has 128 divisors (see below), whose sum is σ = 620421120. Its totient is φ = 55888896.

The previous prime is 199989883. The next prime is 199989893. The reversal of 199989888 is 888989991.

199989888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199989883) and next prime (199989893).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199989883) 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, 125545 + ... + 127127.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2199989888 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 199989888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310210560).

199989888 is an abundant number, since it is smaller than the sum of its proper divisors (420431232).

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

199989888 is a wasteful number, since it uses less digits than its factorization.

199989888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1642 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 69.

The square root of 199989888 is about 14141.7781060233. The cubic root of 199989888 is about 584.7936915873.

The spelling of 199989888 in words is "one hundred ninety-nine million, nine hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 282 329 336 376 384 448 564 658 672 752 896 987 1128 1316 1344 1504 1583 1974 2256 2632 2688 3008 3166 3948 4512 4749 5264 6016 6332 7896 9024 9498 10528 11081 12664 15792 18048 18996 21056 22162 25328 31584 33243 37992 42112 44324 50656 63168 66486 74401 75984 88648 101312 126336 132972 148802 151968 177296 202624 223203 265944 297604 303936 354592 446406 520807 531888 595208 607872 709184 892812 1041614 1063776 1190416 1418368 1562421 1785624 2083228 2127552 2380832 3124842 3571248 4166456 4255104 4761664 6249684 7142496 8332912 9523328 12499368 14284992 16665824 24998736 28569984 33331648 49997472 66663296 99994944 199989888