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164048211 = 3280922531
BaseRepresentation
bin10011100011100…
…10110101010011
3102102200111211200
421301302311103
5313444020321
624140042243
74031246445
oct1161626523
9372614750
10164048211
1184667938
1246b33383
1327caa262
1417b04495
15e606d26
hex9c72d53

164048211 has 12 divisors (see below), whose sum is σ = 237261960. Its totient is φ = 109225440.

The previous prime is 164048207. The next prime is 164048219. The reversal of 164048211 is 112840461.

It is a happy number.

164048211 is a `hidden beast` number, since 1 + 640 + 4 + 8 + 2 + 11 = 666.

It is not a de Polignac number, because 164048211 - 22 = 164048207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164048219) 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, 3985 + ... + 18546.

It is an arithmetic number, because the mean of its divisors is an integer number (19771830).

Almost surely, 2164048211 is an apocalyptic number.

164048211 is a deficient number, since it is larger than the sum of its proper divisors (73213749).

164048211 is a wasteful number, since it uses less digits than its factorization.

164048211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23346 (or 23343 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164048211 is about 12808.1306598582. The cubic root of 164048211 is about 547.4239989582.

Adding to 164048211 its reverse (112840461), we get a palindrome (276888672).

The spelling of 164048211 in words is "one hundred sixty-four million, forty-eight thousand, two hundred eleven".

Divisors: 1 3 9 809 2427 7281 22531 67593 202779 18227579 54682737 164048211