Search a number
-
+
165104212 = 227132233741
BaseRepresentation
bin10011101011101…
…00101001010100
3102111200011101211
421311310221110
5314231313322
624214431204
74043235250
oct1165645124
9374604354
10165104212
1185219269
1247362504
1328289b00
1417cdb260
15e764b77
hex9d74a54

165104212 has 144 divisors (see below), whose sum is σ = 392539392. Its totient is φ = 59304960.

The previous prime is 165104141. The next prime is 165104213. The reversal of 165104212 is 212401561.

165104212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165104213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4026912 + ... + 4026952.

It is an arithmetic number, because the mean of its divisors is an integer number (2725968).

Almost surely, 2165104212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165104212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196269696).

165104212 is an abundant number, since it is smaller than the sum of its proper divisors (227435180).

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

165104212 is a wasteful number, since it uses less digits than its factorization.

165104212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 165104212 is about 12849.2883849651. The cubic root of 165104212 is about 548.5961021862.

Adding to 165104212 its reverse (212401561), we get a palindrome (377505773).

The spelling of 165104212 in words is "one hundred sixty-five million, one hundred four thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 23 26 28 37 41 46 52 74 82 91 92 148 161 164 169 182 259 287 299 322 338 364 481 518 533 574 598 644 676 851 943 962 1036 1066 1148 1183 1196 1517 1702 1886 1924 2093 2132 2366 3034 3367 3404 3731 3772 3887 4186 4732 5957 6068 6253 6601 6734 6929 7462 7774 8372 10619 11063 11914 12259 12506 13202 13468 13858 14924 15548 19721 21238 22126 23828 24518 25012 26404 27209 27716 34891 39442 42476 43771 44252 48503 49036 54418 69782 77441 78884 85813 87542 97006 108836 138047 139564 143819 154882 159367 171626 175084 194012 244237 256373 276094 287638 309764 318734 343252 453583 488474 512746 552188 575276 637468 907166 976948 1006733 1025492 1115569 1794611 1814332 2013466 2231138 3175081 3589222 4026932 4462276 5896579 6350162 7178444 11793158 12700324 23586316 41276053 82552106 165104212