Search a number
-
+
2273385366 = 234723101863
BaseRepresentation
bin1000011110000001…
…0001101110010110
312212102202221110000
42013200101232112
514123441312431
61013330312130
7110223312450
oct20740215626
95772687400
102273385366
11a672a308a
12535428646
132a2cb7055
14177d012d0
15d48b59e6
hex87811b96

2273385366 has 160 divisors (see below), whose sum is σ = 6142169088. Its totient is φ = 614433600.

The previous prime is 2273385349. The next prime is 2273385437. The reversal of 2273385366 is 6635833722.

It is a super-3 number, since 3×22733853663 (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (1088640) is a multiple of the sum of its prime factors (1008).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2633851 + ... + 2634713.

Almost surely, 22273385366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273385366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071084544).

2273385366 is an abundant number, since it is smaller than the sum of its proper divisors (3868783722).

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

2273385366 is a wasteful number, since it uses less digits than its factorization.

2273385366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 999 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 2273385366 is about 47680.0311031778. The cubic root of 2273385366 is about 1314.8948367761.

The spelling of 2273385366 in words is "two billion, two hundred seventy-three million, three hundred eighty-five thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 101 126 138 161 162 189 202 207 303 322 378 414 483 567 606 621 707 863 909 966 1134 1242 1414 1449 1726 1818 1863 2121 2323 2589 2727 2898 3726 4242 4347 4646 5178 5454 6041 6363 6969 7767 8181 8694 12082 12726 13041 13938 15534 16261 16362 18123 19089 19849 20907 23301 26082 32522 36246 38178 39698 41814 46602 48783 54369 57267 59547 62721 69903 87163 97566 108738 114534 119094 125442 138943 139806 146349 163107 174326 178641 188163 261489 277886 292698 326214 357282 376326 416829 439047 489321 522978 535923 610141 784467 833658 878094 978642 1071846 1220282 1250487 1317141 1568934 1607769 1830423 2004749 2353401 2500974 2634282 3215538 3660846 3751461 4009498 4706802 5491269 6014247 7060203 7502922 10982538 11254383 12028494 14033243 14120406 16473807 18042741 22508766 28066486 32947614 36085482 42099729 49421421 54128223 84199458 98842842 108256446 126299187 162384669 252598374 324769338 378897561 757795122 1136692683 2273385366