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230898419223104 = 26611481391110211
BaseRepresentation
bin110100100000000000111010…
…010000011100101001000000
31010021112200011211121010001102
4310200000322100130221000
5220231014430310114404
62135025134110353532
766430601035266413
oct6440007220345100
91107480154533042
10230898419223104
1167631519162106
1221a917b14bb8a8
139bab820822089
144103786467b7a
151ba62e76e171e
hexd2003a41ca40

230898419223104 has 112 divisors (see below), whose sum is σ = 466179601560192. Its totient is φ = 113439797760000.

The previous prime is 230898419223091. The next prime is 230898419223127. The reversal of 230898419223104 is 401322914898032.

It is a self number, because there is not a number n which added to its sum of digits gives 230898419223104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22612708559 + ... + 22612718769.

Almost surely, 2230898419223104 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 230898419223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233089800780096).

230898419223104 is an abundant number, since it is smaller than the sum of its proper divisors (235281182337088).

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

230898419223104 is a wasteful number, since it uses less digits than its factorization.

230898419223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15676 (or 15666 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 230898419223104 in words is "two hundred thirty trillion, eight hundred ninety-eight billion, four hundred nineteen million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1481 1952 2962 3904 3911 5924 7822 10211 11848 15644 20422 23696 31288 40844 47392 62576 81688 90341 94784 125152 163376 180682 238571 250304 326752 361364 477142 622871 653504 722728 954284 1245742 1445456 1908568 2491484 2890912 3817136 4982968 5781824 5792191 7634272 9965936 11584382 15122491 15268544 19931872 23168764 30244982 39863744 39935221 46337528 60489964 79870442 92675056 120979928 159740884 185350112 241959856 319481768 353323651 370700224 483919712 638963536 706647302 922471951 967839424 1277927072 1413294604 1844943902 2436048481 2555854144 2826589208 3689887804 4872096962 5653178416 7379775608 9744193924 11306356832 14759551216 19488387848 22612713664 29519102432 38976775696 59038204864 59144062301 77953551392 118288124602 155907102784 236576249204 473152498408 946304996816 1892609993632 3607787800361 3785219987264 7215575600722 14431151201444 28862302402888 57724604805776 115449209611552 230898419223104