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268195203 = 32192233797
BaseRepresentation
bin11111111110001…
…01010110000011
3200200122201122200
433333011112003
51022124221303
642340204243
76434423133
oct1777052603
9620581580
10268195203
11128431031
1275999683
13437434b3
1427894ac3
151882a3a3
hexffc5583

268195203 has 72 divisors (see below), whose sum is σ = 442679328. Its totient is φ = 156017664.

The previous prime is 268195201. The next prime is 268195237. The reversal of 268195203 is 302591862.

268195203 is a `hidden beast` number, since 268 + 195 + 203 = 666.

It is not a de Polignac number, because 268195203 - 21 = 268195201 is a prime.

It is a super-2 number, since 2×2681952032 = 143857333824422418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268195201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2764851 + ... + 2764947.

It is an arithmetic number, because the mean of its divisors is an integer number (6148324).

Almost surely, 2268195203 is an apocalyptic number.

268195203 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

268195203 is a deficient number, since it is larger than the sum of its proper divisors (174484125).

268195203 is a wasteful number, since it uses less digits than its factorization.

268195203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 268195203 is about 16376.6664190244. Note that the first 3 decimals coincide. The cubic root of 268195203 is about 644.8870687446.

The spelling of 268195203 in words is "two hundred sixty-eight million, one hundred ninety-five thousand, two hundred three".

Divisors: 1 3 9 19 23 37 57 69 97 111 171 207 291 333 361 437 703 851 873 1083 1311 1843 2109 2231 2553 3249 3589 3933 5529 6327 6693 7659 8303 10767 13357 16169 16587 20079 24909 32301 35017 40071 42389 48507 68191 74727 82547 105051 120213 127167 145521 204573 247641 307211 315153 381501 613719 742923 805391 921633 1295629 1568393 2416173 2764899 3886887 4705179 7248519 11660661 14115537 29799467 89398401 268195203