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165522140 = 22572959691
BaseRepresentation
bin10011101110110…
…10101011011100
3102112110101200122
421313122223130
5314333202030
624231414112
74046625560
oct1167325334
9375411618
10165522140
1185484263
1247524338
13283a50c4
1417da96a0
15e7e88e5
hex9ddaadc

165522140 has 96 divisors (see below), whose sum is σ = 418521600. Its totient is φ = 53786880.

The previous prime is 165522139. The next prime is 165522157. The reversal of 165522140 is 41225561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239195 + ... + 239885.

It is an arithmetic number, because the mean of its divisors is an integer number (4359600).

Almost surely, 2165522140 is an apocalyptic number.

165522140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165522140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209260800).

165522140 is an abundant number, since it is smaller than the sum of its proper divisors (252999460).

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

165522140 is a wasteful number, since it uses less digits than its factorization.

165522140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 165522140 is about 12865.5407970283. The cubic root of 165522140 is about 549.0585989477.

The spelling of 165522140 in words is "one hundred sixty-five million, five hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 59 70 116 118 140 145 203 236 290 295 406 413 580 590 691 812 826 1015 1180 1382 1652 1711 2030 2065 2764 3422 3455 4060 4130 4837 6844 6910 8260 8555 9674 11977 13820 17110 19348 20039 23954 24185 34220 40078 40769 47908 48370 59885 80156 81538 96740 100195 119770 140273 163076 200390 203845 239540 280546 285383 400780 407690 561092 570766 701365 815380 1141532 1182301 1402730 1426915 2364602 2805460 2853830 4729204 5707660 5911505 8276107 11823010 16552214 23646020 33104428 41380535 82761070 165522140