Search a number
-
+
208208 = 24711132
BaseRepresentation
bin110010110101010000
3101120121102
4302311100
523130313
64243532
71525010
oct626520
9346542
10208208
11132480
12a05a8
1373a00
1455c40
1541a58
hex32d50

208208 has 60 divisors (see below), whose sum is σ = 544608. Its totient is φ = 74880.

The previous prime is 208207. The next prime is 208213. The reversal of 208208 is 802802.

It is a self number, because there is not a number n which added to its sum of digits gives 208208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16010 + ... + 16022.

2208208 is an apocalyptic number.

208208 is a gapful number since it is divisible by the number (28) 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 208208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272304).

208208 is an abundant number, since it is smaller than the sum of its proper divisors (336400).

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

208208 is a wasteful number, since it uses less digits than its factorization.

208208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 208208 is about 456.2981481444. The cubic root of 208208 is about 59.2696647623.

It can be divided in two parts, 20 and 8208, that added together give a palindrome (8228).

The spelling of 208208 in words is "two hundred eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 169 176 182 208 286 308 338 364 572 616 676 728 1001 1144 1183 1232 1352 1456 1859 2002 2288 2366 2704 3718 4004 4732 7436 8008 9464 13013 14872 16016 18928 26026 29744 52052 104104 208208