Search a number
-
+
230443645256 = 231123115150857
BaseRepresentation
bin1101011010011110000…
…0101111100101001000
3211000211000101002202022
43112213200233211020
512233422033122011
6253510411024012
722435415444156
oct3264740574510
9730730332668
10230443645256
1189804480500
12387b313b008
1318966597656
14b2214123d6
155edaed38db
hex35a782f948

230443645256 has 96 divisors (see below), whose sum is σ = 493509757440. Its totient is φ = 100694880000.

The previous prime is 230443645241. The next prime is 230443645261. The reversal of 230443645256 is 652546344032.

230443645256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4505780 + ... + 4556636.

It is an arithmetic number, because the mean of its divisors is an integer number (5140726640).

Almost surely, 2230443645256 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 230443645256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246754878720).

230443645256 is an abundant number, since it is smaller than the sum of its proper divisors (263066112184).

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

230443645256 is a wasteful number, since it uses less digits than its factorization.

230443645256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51067 (or 51052 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

Adding to 230443645256 its reverse (652546344032), we get a palindrome (882989989288).

The spelling of 230443645256 in words is "two hundred thirty billion, four hundred forty-three million, six hundred forty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 151 242 248 302 341 484 604 682 968 1208 1364 1661 2728 3322 3751 4681 6644 7502 9362 13288 15004 18271 18724 30008 36542 37448 50857 51491 73084 101714 102982 146168 203428 205964 406856 411928 559427 566401 1118854 1132802 1576567 2237708 2265604 3153134 4475416 4531208 6153697 6306268 7679407 12307394 12612536 15358814 17342237 24614788 30717628 34684474 49229576 61435256 69368948 84473477 138737896 168946954 190764607 238061617 337893908 381529214 476123234 675787816 763058428 929208247 952246468 1526116856 1858416494 1904492936 2618677787 3716832988 5237355574 7433665976 10474711148 20949422296 28805455657 57610911314 115221822628 230443645256