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172172106 = 23273283463
BaseRepresentation
bin10100100001100…
…10001101001010
3102222222020201200
422100302031022
5323034001411
625030125030
74160303331
oct1220621512
9388866650
10172172106
11892064a7
12497b0776
1329892bb2
1418c1ad18
15101ade56
hexa43234a

172172106 has 48 divisors (see below), whose sum is σ = 380305536. Its totient is φ = 56282688.

The previous prime is 172172093. The next prime is 172172131. The reversal of 172172106 is 601271271.

172172106 is nontrivially palindromic in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 172172106.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 371631 + ... + 372093.

It is an arithmetic number, because the mean of its divisors is an integer number (7923032).

Almost surely, 2172172106 is an apocalyptic number.

172172106 is an abundant number, since it is smaller than the sum of its proper divisors (208133430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172172106 is a wasteful number, since it uses less digits than its factorization.

172172106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 172172106 is about 13121.4368877802. The cubic root of 172172106 is about 556.3152056540.

The spelling of 172172106 in words is "one hundred seventy-two million, one hundred seventy-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 73 146 219 283 438 463 566 657 849 926 1314 1389 1698 2547 2778 4167 5094 8334 20659 33799 41318 61977 67598 101397 123954 131029 185931 202794 262058 304191 371862 393087 608382 786174 1179261 2358522 9565117 19130234 28695351 57390702 86086053 172172106