Search a number
-
+
2266067475 = 335272131523
BaseRepresentation
bin1000011100010001…
…0111001000010011
312211221000011012000
42013010113020103
514120103124400
61012505405043
7110104153500
oct20704271023
95757004160
102266067475
11a63155041
12532a99783
132a1624239
14176d584a7
15d3e1c600
hex87117213

2266067475 has 144 divisors (see below), whose sum is σ = 4888794240. Its totient is φ = 1026043200.

The previous prime is 2266067459. The next prime is 2266067497. The reversal of 2266067475 is 5747606622.

It is not a de Polignac number, because 2266067475 - 24 = 2266067459 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2266067475.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4332564 + ... + 4333086.

It is an arithmetic number, because the mean of its divisors is an integer number (33949960).

Almost surely, 22266067475 is an apocalyptic number.

2266067475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2266067475 is an abundant number, since it is smaller than the sum of its proper divisors (2622726765).

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

2266067475 is a wasteful number, since it uses less digits than its factorization.

2266067475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2266067475 is about 47603.2296698449. The cubic root of 2266067475 is about 1313.4824643984.

The spelling of 2266067475 in words is "two billion, two hundred sixty-six million, sixty-seven thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 131 135 147 175 189 225 245 315 393 441 523 525 655 675 735 917 945 1179 1225 1323 1569 1575 1965 2205 2615 2751 3275 3537 3661 3675 4585 4707 4725 5895 6419 6615 7845 8253 9825 10983 11025 13075 13755 14121 17685 18305 19257 22925 23535 24759 25627 29475 32095 32949 33075 39225 41265 54915 57771 68513 68775 70605 76881 88425 91525 96285 98847 117675 123795 128135 160475 164745 173313 205539 206325 230643 274575 288855 342565 353025 384405 479591 481425 494235 616617 618975 640675 691929 823725 866565 1027695 1153215 1438773 1444275 1712825 1849851 1922025 2397955 2471175 3083085 3357137 3459645 4316319 4332825 5138475 5766075 7193865 9249255 10071411 11989775 12948957 15415425 16785685 17298225 21581595 30214233 35969325 46246275 50357055 64744785 83928425 90642699 107907975 151071165 251785275 323723925 453213495 755355825 2266067475