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165664230 = 23519509571
BaseRepresentation
bin10011101111111…
…01010111100110
3102112201121121020
421313331113212
5314402223410
624234432010
74051060044
oct1167752746
9375647536
10165664230
1185570a96
1247592606
1328424994
1418005394
15e825a70
hex9dfd5e6

165664230 has 64 divisors (see below), whose sum is σ = 420076800. Its totient is φ = 41696640.

The previous prime is 165664199. The next prime is 165664243. The reversal of 165664230 is 32466561.

It is a junction number, because it is equal to n+sod(n) for n = 165664191 and 165664200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289845 + ... + 290415.

It is an arithmetic number, because the mean of its divisors is an integer number (6563700).

Almost surely, 2165664230 is an apocalyptic number.

165664230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165664230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038400).

165664230 is an abundant number, since it is smaller than the sum of its proper divisors (254412570).

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

165664230 is a wasteful number, since it uses less digits than its factorization.

165664230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 165664230 is about 12871.0617277674. The cubic root of 165664230 is about 549.2156643875.

The spelling of 165664230 in words is "one hundred sixty-five million, six hundred sixty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 509 570 571 1018 1142 1527 1713 2545 2855 3054 3426 5090 5710 7635 8565 9671 10849 15270 17130 19342 21698 29013 32547 48355 54245 58026 65094 96710 108490 145065 162735 290130 290639 325470 581278 871917 1453195 1743834 2906390 4359585 5522141 8719170 11044282 16566423 27610705 33132846 55221410 82832115 165664230