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199893393 = 3372151091
BaseRepresentation
bin10111110101000…
…10000110010001
3111221010122012000
423322202012101
5402133042033
631500224213
74645031400
oct1372420621
9457118160
10199893393
11a291a957
1256b3b069
133254a91b
141c795637
1512837a13
hexbea2191

199893393 has 24 divisors (see below), whose sum is σ = 344489760. Its totient is φ = 114224040.

The previous prime is 199893367. The next prime is 199893427. The reversal of 199893393 is 393398991.

It is not a de Polignac number, because 199893393 - 218 = 199631249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (199893313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74223 + ... + 76868.

It is an arithmetic number, because the mean of its divisors is an integer number (14353740).

Almost surely, 2199893393 is an apocalyptic number.

It is an amenable number.

199893393 is a deficient number, since it is larger than the sum of its proper divisors (144596367).

199893393 is a wasteful number, since it uses less digits than its factorization.

199893393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151114 (or 151101 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 199893393 is about 14138.3659946968. The cubic root of 199893393 is about 584.6996222554.

The spelling of 199893393 in words is "one hundred ninety-nine million, eight hundred ninety-three thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 151091 453273 1057637 1359819 3172911 4079457 7403459 9518733 22210377 28556199 66631131 199893393