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208122164 = 22161332257
BaseRepresentation
bin11000110011110…
…11000100110100
3112111121200221022
430121323010310
5411234402124
632352440312
75105003105
oct1431730464
9474550838
10208122164
11a7530298
1259849098
133416c213
141d8d83ac
1513410c5e
hexc67b134

208122164 has 12 divisors (see below), whose sum is σ = 364450884. Its totient is φ = 103993344.

The previous prime is 208122163. The next prime is 208122199. The reversal of 208122164 is 461221802.

It is a happy number.

208122164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 91049764 + 117072400 = 9542^2 + 10820^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208122163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9677 + ... + 22580.

It is an arithmetic number, because the mean of its divisors is an integer number (30370907).

Almost surely, 2208122164 is an apocalyptic number.

It is an amenable number.

208122164 is a deficient number, since it is larger than the sum of its proper divisors (156328720).

208122164 is a wasteful number, since it uses less digits than its factorization.

208122164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33874 (or 33872 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 208122164 is about 14426.4397548390. The cubic root of 208122164 is about 592.6151878929.

Adding to 208122164 its reverse (461221802), we get a palindrome (669343966).

The spelling of 208122164 in words is "two hundred eight million, one hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 1613 3226 6452 32257 64514 129028 52030541 104061082 208122164