Search a number
-
+
230341223022444 = 223239675039320083
BaseRepresentation
bin110100010111111001111110…
…110001100111111101101100
31010012120101221212122100200200
4310113321332301213331230
5220142402311043204234
62133521144054153500
766342414143603322
oct6427717661477554
91105511855570620
10230341223022444
116743718945a596
1221a01809652890
139b6b112aa47b1
1440c4808cc3d12
151b96a85595d99
hexd17e7ec67f6c

230341223022444 has 72 divisors (see below), whose sum is σ = 582515596615680. Its totient is φ = 76745579736672.

The previous prime is 230341223022431. The next prime is 230341223022487. The reversal of 230341223022444 is 444220322143032.

230341223022444 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 412 + 230 + 2 + 2 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230341223022399 and 230341223022408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719469627 + ... + 719789709.

It is an arithmetic number, because the mean of its divisors is an integer number (8090494397440).

Almost surely, 2230341223022444 is an apocalyptic number.

It is an amenable number.

230341223022444 is an abundant number, since it is smaller than the sum of its proper divisors (352174373593236).

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

230341223022444 is a wasteful number, since it uses less digits than its factorization.

230341223022444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329099 (or 329094 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 230341223022444 its reverse (444220322143032), we get a palindrome (674561545165476).

The spelling of 230341223022444 in words is "two hundred thirty trillion, three hundred forty-one billion, two hundred twenty-three million, twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3967 5039 7934 10078 11901 15117 15868 20156 23802 30234 35703 45351 47604 60468 71406 90702 142812 181404 320083 640166 960249 1280332 1920498 2880747 3840996 5761494 11522988 19989713 39979426 59969139 79958852 119938278 179907417 239876556 359814834 719629668 1269769261 1612898237 2539538522 3225796474 3809307783 4838694711 5079077044 6451592948 7618615566 9677389422 11427923349 14516084133 15237231132 19354778844 22855846698 29032168266 45711693396 58064336532 6398367306179 12796734612358 19195101918537 25593469224716 38390203837074 57585305755611 76780407674148 115170611511222 230341223022444