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164106333 = 3218234037
BaseRepresentation
bin10011100100000…
…01000001011101
3102102210110120100
421302001001131
5314002400313
624141211313
74031611056
oct1162010135
9372713510
10164106333
11846a7576
1246b60b39
1327cca851
1417b1b72d
15e619173
hex9c8105d

164106333 has 6 divisors (see below), whose sum is σ = 237042494. Its totient is φ = 109404216.

The previous prime is 164106329. The next prime is 164106337. The reversal of 164106333 is 333601461.

164106333 is a `hidden beast` number, since 16 + 4 + 10 + 633 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (164106329) and next prime (164106337).

It can be written as a sum of positive squares in only one way, i.e., 152695449 + 11410884 = 12357^2 + 3378^2 .

It is not a de Polignac number, because 164106333 - 22 = 164106329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164106297 and 164106306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164106337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9117010 + ... + 9117027.

Almost surely, 2164106333 is an apocalyptic number.

It is an amenable number.

164106333 is a deficient number, since it is larger than the sum of its proper divisors (72936161).

164106333 is a wasteful number, since it uses less digits than its factorization.

164106333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18234043 (or 18234040 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 164106333 is about 12810.3994082932. The cubic root of 164106333 is about 547.4886417860.

Adding to 164106333 its reverse (333601461), we get a palindrome (497707794).

The spelling of 164106333 in words is "one hundred sixty-four million, one hundred six thousand, three hundred thirty-three".

Divisors: 1 3 9 18234037 54702111 164106333