Search a number
-
+
208885381 is a prime number
BaseRepresentation
bin11000111001101…
…01011010000101
3112120001110212121
430130311122011
5411433313011
632421045541
75114332165
oct1434653205
9476043777
10208885381
11a7a01751
1259b568b1
1334378723
141da565a5
1513511e71
hexc735685

208885381 has 2 divisors, whose sum is σ = 208885382. Its totient is φ = 208885380.

The previous prime is 208885361. The next prime is 208885399. The reversal of 208885381 is 183588802.

208885381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168117156 + 40768225 = 12966^2 + 6385^2 .

It is a cyclic number.

It is not a de Polignac number, because 208885381 - 27 = 208885253 is a prime.

It is a super-2 number, since 2×2088853812 = 87266204791030322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208885301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104442690 + 104442691.

It is an arithmetic number, because the mean of its divisors is an integer number (104442691).

Almost surely, 2208885381 is an apocalyptic number.

It is an amenable number.

208885381 is a deficient number, since it is larger than the sum of its proper divisors (1).

208885381 is an equidigital number, since it uses as much as digits as its factorization.

208885381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 122880, while the sum is 43.

The square root of 208885381 is about 14452.8675701398. The cubic root of 208885381 is about 593.3387088335.

The spelling of 208885381 in words is "two hundred eight million, eight hundred eighty-five thousand, three hundred eighty-one".