Search a number
-
+
3223768086 = 2347111092371
BaseRepresentation
bin1100000000100110…
…1100110000010110
322022200002101110000
43000021230300112
523100241034321
61251520312130
7142613401530
oct30011546026
98280071400
103223768086
111404807750
1275b772646
133c4b710a6
14228214850
1513d045826
hexc026cc16

3223768086 has 160 divisors (see below), whose sum is σ = 9092540160. Its totient is φ = 829310400.

The previous prime is 3223768081. The next prime is 3223768087. The reversal of 3223768086 is 6808673223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223768081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1358481 + ... + 1360851.

It is an arithmetic number, because the mean of its divisors is an integer number (56828376).

Almost surely, 23223768086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223768086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546270080).

3223768086 is an abundant number, since it is smaller than the sum of its proper divisors (5868772074).

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

3223768086 is a wasteful number, since it uses less digits than its factorization.

3223768086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3223768086 is about 56778.2360240260. The cubic root of 3223768086 is about 1477.2520359982.

The spelling of 3223768086 in words is "three billion, two hundred twenty-three million, seven hundred sixty-eight thousand, eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 109 126 154 162 189 198 218 231 297 327 378 462 567 594 654 693 763 891 981 1134 1199 1386 1526 1782 1962 2079 2289 2371 2398 2943 3597 4158 4578 4742 5886 6237 6867 7113 7194 8393 8829 10791 12474 13734 14226 16597 16786 17658 20601 21339 21582 25179 26081 32373 33194 41202 42678 49791 50358 52162 61803 64017 64746 75537 78243 97119 99582 123606 128034 149373 151074 156486 182567 192051 194238 226611 234729 258439 298746 365134 384102 448119 453222 469458 516878 547701 679833 704187 775317 896238 1095402 1344357 1359666 1408374 1550634 1643103 1809073 2112561 2325951 2688714 2842829 3286206 3618146 4225122 4651902 4929309 5427219 5685658 6977853 8528487 9858618 10854438 13955706 14787927 16281657 17056974 19899803 20933559 25585461 29575854 32563314 39799606 41867118 48844971 51170922 59699409 76756383 97689942 119398818 146534913 153512766 179098227 230269149 293069826 358196454 460538298 537294681 1074589362 1611884043 3223768086