Search a number
-
+
165233145 = 357211107191
BaseRepresentation
bin10011101100101…
…00000111111001
3102111220201021010
421312110013321
5314244430040
624221304133
74044313200
oct1166240771
9374821233
10165233145
11852a7120
1247405049
13283036bc
1417d32237
15e78ce80
hex9d941f9

165233145 has 96 divisors (see below), whose sum is σ = 340402176. Its totient is φ = 67670400.

The previous prime is 165233143. The next prime is 165233179. The reversal of 165233145 is 541332561.

It is not a de Polignac number, because 165233145 - 21 = 165233143 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165233143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865000 + ... + 865190.

It is an arithmetic number, because the mean of its divisors is an integer number (3545856).

Almost surely, 2165233145 is an apocalyptic number.

165233145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165233145 is an abundant number, since it is smaller than the sum of its proper divisors (175169031).

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

165233145 is a wasteful number, since it uses less digits than its factorization.

165233145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 165233145 is about 12854.3045319457. The cubic root of 165233145 is about 548.7388680518.

The spelling of 165233145 in words is "one hundred sixty-five million, two hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 107 147 165 191 231 245 321 385 535 539 573 735 749 955 1155 1177 1337 1605 1617 2101 2247 2695 2865 3531 3745 4011 5243 5885 6303 6685 8085 8239 9359 10505 11235 14707 15729 17655 20055 20437 24717 26215 28077 31515 41195 44121 46795 57673 61311 73535 78645 102185 102949 123585 140385 143059 173019 220605 224807 288365 306555 308847 429177 514745 674421 715295 865095 1001413 1124035 1544235 1573649 2145885 3004239 3372105 4720947 5007065 7868245 11015543 15021195 23604735 33046629 55077715 165233145