Search a number
-
+
232302002222130 = 235379718671155617
BaseRepresentation
bin110100110100011100000110…
…010100101011010000110010
31010110111212001221122010011220
4310310130012110223100302
5220422014000032102010
62142022022213245510
766634160113032651
oct6464340624532062
91113455057563156
10232302002222130
11680227a9176615
1222079826633896
139c80ca58359c9
144151696879198
151bcca951a5970
hexd3470652b432

232302002222130 has 128 divisors (see below), whose sum is σ = 578806418518272. Its totient is φ = 59619579199488.

The previous prime is 232302002222119. The next prime is 232302002222183. The reversal of 232302002222130 is 31222200203232.

It is a self number, because there is not a number n which added to its sum of digits gives 232302002222130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200442082 + ... + 201597698.

It is an arithmetic number, because the mean of its divisors is an integer number (4521925144674).

Almost surely, 2232302002222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232302002222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289403209259136).

232302002222130 is an abundant number, since it is smaller than the sum of its proper divisors (346504416296142).

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

232302002222130 is a wasteful number, since it uses less digits than its factorization.

232302002222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157628.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232302002222130 its reverse (31222200203232), we get a palindrome (263524202425362).

The spelling of 232302002222130 in words is "two hundred thirty-two trillion, three hundred two billion, two million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 97 111 185 194 222 291 370 485 555 582 970 1110 1455 1867 2910 3589 3734 5601 7178 9335 10767 11202 17945 18670 21534 28005 35890 53835 56010 69079 107670 138158 181099 207237 345395 362198 414474 543297 690790 905495 1036185 1086594 1155617 1810990 2072370 2311234 2716485 3466851 5432970 5778085 6700663 6933702 11556170 13401326 17334255 20101989 33503315 34668510 40203978 42757829 67006630 85515658 100509945 112094849 128273487 201019890 213789145 224189698 256546974 336284547 427578290 560474245 641367435 672569094 1120948490 1282734870 1681422735 2157536939 3362845470 4147509413 4315073878 6472610817 8295018826 10787684695 12442528239 12945221634 20737547065 21575369390 24885056478 32363054085 41475094130 62212641195 64726108170 79828866743 124425282390 159657733486 209281083083 239486600229 399144333715 418562166166 478973200458 627843249249 798288667430 1046405415415 1197433001145 1255686498498 2092810830830 2394866002290 3139216246245 6278432492490 7743400074071 15486800148142 23230200222213 38717000370355 46460400444426 77434000740710 116151001111065 232302002222130