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2266134066 = 2327219294663
BaseRepresentation
bin1000011100010010…
…0111011000110010
312211221010112112100
42013010213120302
514120112242231
61012511041230
7110104551600
oct20704473062
95757115470
102266134066
11a631a0079
12532b10216
132a1648641
14176d74870
15d3e321e6
hex87127632

2266134066 has 144 divisors (see below), whose sum is σ = 6220843200. Its totient is φ = 592111296.

The previous prime is 2266134053. The next prime is 2266134077. The reversal of 2266134066 is 6604316622.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2266134066.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 483651 + ... + 488313.

It is an arithmetic number, because the mean of its divisors is an integer number (43200300).

Almost surely, 22266134066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266134066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110421600).

2266134066 is an abundant number, since it is smaller than the sum of its proper divisors (3954709134).

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

2266134066 is a wasteful number, since it uses less digits than its factorization.

2266134066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2266134066 is about 47603.9291025436. The cubic root of 2266134066 is about 1313.4953303368.

The spelling of 2266134066 in words is "two billion, two hundred sixty-six million, one hundred thirty-four thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 49 57 58 63 87 98 114 126 133 147 171 174 203 261 266 294 342 399 406 441 522 551 609 798 882 931 1102 1197 1218 1421 1653 1827 1862 2394 2793 2842 3306 3654 3857 4263 4663 4959 5586 7714 8379 8526 9326 9918 11571 12789 13989 16758 23142 25578 26999 27978 32641 34713 41967 53998 65282 69426 80997 83934 88597 97923 135227 161994 177194 195846 228487 242991 265791 270454 293769 405681 456974 485982 531582 587538 620179 685461 797373 811362 946589 1217043 1240358 1370922 1594746 1860537 1893178 2056383 2434086 2569313 2839767 3721074 4112766 4341253 5138626 5581611 5679534 6626123 7707939 8519301 8682506 11163222 13023759 13252246 15415878 17038602 17985191 19878369 23123817 26047518 35970382 39071277 39756738 46247634 53955573 59635107 78142554 107911146 119270214 125896337 161866719 251792674 323733438 377689011 755378022 1133067033 2266134066