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1066605228 = 22321317791697
BaseRepresentation
bin111111100100110…
…001101010101100
32202100000011022100
4333210301222230
54141022331403
6253501015100
735300665143
oct7744615254
92670004270
101066605228
114a8086327
12259254490
1313cc8a770
14a192875a
156398b2a3
hex3f931aac

1066605228 has 144 divisors (see below), whose sum is σ = 3115082880. Its totient is φ = 304791552.

The previous prime is 1066605217. The next prime is 1066605233. The reversal of 1066605228 is 8225066601.

It is a super-2 number, since 2×10666052282 = 2275293424793863968, which contains 22 as substring.

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 = 1066605192 and 1066605201.

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 47 ways as a sum of consecutive naturals, for example, 627676 + ... + 629372.

It is an arithmetic number, because the mean of its divisors is an integer number (21632520).

Almost surely, 21066605228 is an apocalyptic number.

1066605228 is a gapful number since it is divisible by the number (18) 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 1066605228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557541440).

1066605228 is an abundant number, since it is smaller than the sum of its proper divisors (2048477652).

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

1066605228 is a wasteful number, since it uses less digits than its factorization.

1066605228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1066605228 is about 32658.9226399157. The cubic root of 1066605228 is about 1021.7262923857.

The spelling of 1066605228 in words is "one billion, sixty-six million, six hundred five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 79 102 117 153 156 158 204 221 234 237 306 316 442 468 474 612 663 711 884 948 1027 1326 1343 1422 1697 1989 2054 2652 2686 2844 3081 3394 3978 4029 4108 5091 5372 6162 6788 7956 8058 9243 10182 12087 12324 15273 16116 17459 18486 20364 22061 24174 28849 30546 34918 36972 44122 48348 52377 57698 61092 66183 69836 86547 88244 104754 115396 132366 134063 157131 173094 198549 209508 259641 264732 268126 314262 346188 375037 397098 402189 519282 536252 628524 750074 794196 804378 1038564 1125111 1206567 1500148 1608756 1742819 2250222 2279071 2413134 3375333 3485638 4500444 4558142 4826268 5228457 6750666 6837213 6971276 9116284 10456914 13501332 13674426 15685371 20511639 20913828 27348852 29627923 31370742 41023278 59255846 62741484 82046556 88883769 118511692 177767538 266651307 355535076 533302614 1066605228