Search a number
-
+
230450882808 = 233194327914211
BaseRepresentation
bin1101011010011111110…
…0010110100011111000
3211000211111222210210210
43112213330112203320
512233430411222213
6253511230111120
722435534116666
oct3264774264370
9730744883723
10230450882808
1189808574153
12387b564b4a0
1318967c2ca23
14b222377c36
155edb9630c3
hex35a7f168f8

230450882808 has 128 divisors (see below), whose sum is σ = 620922931200. Its totient is φ = 71039203200.

The previous prime is 230450882801. The next prime is 230450882819. The reversal of 230450882808 is 808288054032.

It is a Cunningham number, because it is equal to 4800532-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230450882801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54723823 + ... + 54728033.

It is an arithmetic number, because the mean of its divisors is an integer number (4850960400).

Almost surely, 2230450882808 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 230450882808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310461465600).

230450882808 is an abundant number, since it is smaller than the sum of its proper divisors (390472048392).

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

230450882808 is a wasteful number, since it uses less digits than its factorization.

230450882808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 230450882808 in words is "two hundred thirty billion, four hundred fifty million, eight hundred eighty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2451 2791 3268 4211 4902 5582 6536 8373 8422 9804 11164 12633 16746 16844 19608 22328 25266 33492 33688 50532 53029 66984 80009 101064 106058 120013 159087 160018 181073 212116 240026 240027 318174 320036 360039 362146 424232 480052 480054 543219 636348 640072 720078 724292 960104 960108 1086438 1272696 1440156 1448584 1920216 2172876 2280247 2880312 3440387 4345752 4560494 6840741 6880774 9120988 10321161 11752901 13681482 13761548 18241976 20642322 23505802 27362964 27523096 35258703 41284644 47011604 54725928 70517406 82569288 94023208 141034812 223305119 282069624 446610238 505374743 669915357 893220476 1010749486 1339830714 1516124229 1786440952 2021498972 2679661428 3032248458 4042997944 5359322856 6064496916 9602120117 12128993832 19204240234 28806360351 38408480468 57612720702 76816960936 115225441404 230450882808