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66840228 = 22347132267
BaseRepresentation
bin1111111011111…
…0011010100100
311122202211120000
43332332122210
5114102341403
610344341300
71441063320
oct376763244
9148684500
1066840228
1134803064
121a474830
1310b03540
148c3c980
155d047a3
hex3fbe6a4

66840228 has 120 divisors (see below), whose sum is σ = 215151552. Its totient is φ = 17620416.

The previous prime is 66840203. The next prime is 66840281. The reversal of 66840228 is 82204866.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66840192 and 66840201.

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 39 ways as a sum of consecutive naturals, for example, 28351 + ... + 30617.

Almost surely, 266840228 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 66840228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107575776).

66840228 is an abundant number, since it is smaller than the sum of its proper divisors (148311324).

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

66840228 is a wasteful number, since it uses less digits than its factorization.

66840228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66840228 is about 8175.5873183521. The cubic root of 66840228 is about 405.8317064794.

The spelling of 66840228 in words is "sixty-six million, eight hundred forty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2267 2268 2457 3276 4212 4534 4914 6801 7371 9068 9828 13602 14742 15869 20403 27204 29471 29484 31738 40806 47607 58942 61209 63476 81612 88413 95214 117884 122418 142821 176826 183627 190428 206297 244836 265239 285642 353652 367254 412594 428463 530478 571284 618891 734508 795717 825188 856926 1060956 1237782 1285389 1591434 1713852 1856673 2387151 2475564 2570778 3182868 3713346 4774302 5141556 5570019 7426692 9548604 11140038 16710057 22280076 33420114 66840228