Search a number
-
+
208269 = 3273317
BaseRepresentation
bin110010110110001101
3101120200200
4302312031
523131034
64244113
71525125
oct626615
9346620
10208269
11132526
12a0639
1373a49
1455c85
1541a99
hex32d8d

208269 has 12 divisors (see below), whose sum is σ = 305916. Its totient is φ = 136512.

The previous prime is 208261. The next prime is 208277. The reversal of 208269 is 962802.

It is an interprime number because it is at equal distance from previous prime (208261) and next prime (208277).

It can be written as a sum of positive squares in 2 ways, for example, as 56169 + 152100 = 237^2 + 390^2 .

It is not a de Polignac number, because 208269 - 23 = 208261 is a prime.

It is a super-2 number, since 2×2082692 = 86751952722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

208269 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208261) 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, 499 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (25493).

2208269 is an apocalyptic number.

It is an amenable number.

208269 is a deficient number, since it is larger than the sum of its proper divisors (97647).

208269 is a wasteful number, since it uses less digits than its factorization.

208269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 208269 is about 456.3649855105. The cubic root of 208269 is about 59.2754523986.

The spelling of 208269 in words is "two hundred eight thousand, two hundred sixty-nine".

Divisors: 1 3 9 73 219 317 657 951 2853 23141 69423 208269