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2230310141332 = 2271321771390493
BaseRepresentation
bin100000011101001000110…
…101111111110110010100
321220012211011000020202121
4200131020311333312110
5243020133344010312
64424331302345324
7320064110256040
oct40351065776624
97805734006677
102230310141332
1178a961a26869
123002ba42b244
13132418287400
1479d3a26d020
153d0373de707
hex20748d7fd94

2230310141332 has 144 divisors (see below), whose sum is σ = 5186310135552. Its totient is φ = 818721146880.

The previous prime is 2230310141321. The next prime is 2230310141359. The reversal of 2230310141332 is 2331410130322.

It is a junction number, because it is equal to n+sod(n) for n = 2230310141297 and 2230310141306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5516278 + ... + 5906770.

It is an arithmetic number, because the mean of its divisors is an integer number (36016042608).

Almost surely, 22230310141332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230310141332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593155067776).

2230310141332 is an abundant number, since it is smaller than the sum of its proper divisors (2955999994220).

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

2230310141332 is a wasteful number, since it uses less digits than its factorization.

2230310141332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390618 (or 390603 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2230310141332 its reverse (2331410130322), we get a palindrome (4561720271654).

The spelling of 2230310141332 in words is "two trillion, two hundred thirty billion, three hundred ten million, one hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 71 91 119 142 169 182 221 238 284 338 364 442 476 497 676 884 923 994 1183 1207 1547 1846 1988 2366 2414 2873 3094 3692 4732 4828 5746 6188 6461 8449 11492 11999 12922 15691 16898 20111 23998 25844 31382 33796 40222 47996 62764 80444 83993 109837 167986 203983 219674 335972 390493 407966 439348 780986 815932 1427881 1561972 2733451 2855762 5076409 5466902 5711524 6638381 10152818 10933804 13276762 20305636 26553524 27725003 35534863 46468667 55450006 65993317 71069726 86298953 92937334 110900012 131986634 142139452 172597906 185874668 194075021 263973268 345195812 360425039 388150042 461953219 471325051 604092671 720850078 776300084 923906438 942650102 1121886389 1208185342 1441700156 1847812876 1885300204 2243772778 2416370684 2522975273 3299275357 4487545556 4685525507 5045950546 6127225663 6598550714 7853204723 9371051014 10091901092 12254451326 13197101428 15706409446 18742102028 24508902652 31412818892 32798678549 42890579641 65597357098 79653933619 85781159282 131194714196 159307867238 171562318564 318615734476 557577535333 1115155070666 2230310141332