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208308132 = 223316311833
BaseRepresentation
bin11000110101010…
…00011110100100
3112111222011001000
430122220132210
5411311330012
632400433300
75106406224
oct1432503644
9474864030
10208308132
11a7647a8a
1259918830
1334205a66
141d946084
151344addc
hexc6a87a4

208308132 has 48 divisors (see below), whose sum is σ = 543417280. Its totient is φ = 69004224.

The previous prime is 208308101. The next prime is 208308137. The reversal of 208308132 is 231803802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 208308096 and 208308105.

It is not an unprimeable number, because it can be changed into a prime (208308137) 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 15 ways as a sum of consecutive naturals, for example, 11688 + ... + 23520.

Almost surely, 2208308132 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 208308132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271708640).

208308132 is an abundant number, since it is smaller than the sum of its proper divisors (335109148).

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

208308132 is a wasteful number, since it uses less digits than its factorization.

208308132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12009 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 208308132 is about 14432.8837035431. The cubic root of 208308132 is about 592.7916461968.

The spelling of 208308132 in words is "two hundred eight million, three hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 326 489 652 978 1467 1956 2934 4401 5868 8802 11833 17604 23666 35499 47332 70998 106497 141996 212994 319491 425988 638982 1277964 1928779 3857558 5786337 7715116 11572674 17359011 23145348 34718022 52077033 69436044 104154066 208308132