Search a number
-
+
2230322223222 = 23637247716691
BaseRepresentation
bin100000011101001001100…
…100000101100001110110
321220012211222202002000000
4200131021210011201312
5243020144442120342
64424332413332130
7320064315046152
oct40351144054166
97805758662000
102230322223222
1178a9688290a5
12300302497046
1313241a927762
1479d3bad6062
153d0384c944c
hex20749905876

2230322223222 has 112 divisors (see below), whose sum is σ = 5153884615152. Its totient is φ = 723012402240.

The previous prime is 2230322223203. The next prime is 2230322223307. The reversal of 2230322223222 is 2223222230322.

It is a super-3 number, since 3×22303222232223 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 133615897 + ... + 133632587.

It is an arithmetic number, because the mean of its divisors is an integer number (46016826921).

Almost surely, 22230322223222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230322223222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576942307576).

2230322223222 is an abundant number, since it is smaller than the sum of its proper divisors (2923562391930).

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

2230322223222 is a wasteful number, since it uses less digits than its factorization.

2230322223222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19225 (or 19210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 2230322223222 its reverse (2223222230322), we get a palindrome (4453544453544).

The spelling of 2230322223222 in words is "two trillion, two hundred thirty billion, three hundred twenty-two million, two hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1458 1998 2477 2997 4954 5994 7431 8991 14862 16691 17982 22293 26973 33382 44586 50073 53946 66879 91649 100146 133758 150219 183298 200637 274947 300438 401274 450657 549894 601911 617567 824841 901314 1203822 1235134 1351971 1649682 1805733 1852701 2474523 2703942 3611466 3705402 4055913 4949046 5558103 7423569 8111826 11116206 12167739 14847138 16674309 22270707 24335478 33348618 41343607 44541414 50022927 66812121 82687214 100045854 124030821 133624242 150068781 248061642 300137562 372092463 450206343 744184926 900412686 1116277389 1529713459 2232554778 3059426918 3348832167 4589140377 6697664334 9178280754 10046496501 13767421131 20092993002 27534842262 30139489503 41302263393 60278979006 82604526786 123906790179 247813580358 371720370537 743440741074 1115161111611 2230322223222