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224031133244044 = 22721768839768449
BaseRepresentation
bin110010111100000101010000…
…000111011001101010001100
31002101020011111212110221010001
4302330011100013121222030
5213331011230102302134
62112250252023054044
765121500220504100
oct6274052007315214
91071204455427101
10224031133244044
1165424085267005
12211628992a1324
139801078453829
143d47243d3d900
151ad786d25a414
hexcbc1501d9a8c

224031133244044 has 72 divisors (see below), whose sum is σ = 482960842383600. Its totient is φ = 90352361078784.

The previous prime is 224031133244003. The next prime is 224031133244063. The reversal of 224031133244044 is 440442331130422.

It is a super-3 number, since 3×2240311332440443 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 224031133243994 and 224031133244012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18049932 + ... + 27818380.

It is an arithmetic number, because the mean of its divisors is an integer number (6707789477550).

Almost surely, 2224031133244044 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 224031133244044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241480421191800).

224031133244044 is an abundant number, since it is smaller than the sum of its proper divisors (258929709139556).

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

224031133244044 is a wasteful number, since it uses less digits than its factorization.

224031133244044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775367 (or 9775358 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 224031133244044 its reverse (440442331130422), we get a palindrome (664473464374466).

The spelling of 224031133244044 in words is "two hundred twenty-four trillion, thirty-one billion, one hundred thirty-three million, two hundred forty-four thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 6883 13766 27532 48181 96362 117011 192724 234022 337267 468044 674534 819077 1349068 1638154 3276308 5733539 9768449 11467078 19536898 22934156 39073796 68379143 136758286 166063633 273516572 332127266 478654001 664254532 957308002 1162445431 1914616004 2324890862 4649781724 8137118017 16274236034 32548472068 67236234467 134472468934 268944937868 470653641269 941307282538 1143015985939 1882614565076 2286031971878 3294575488883 4572063943756 6589150977766 8001111901573 13178301955532 16002223803146 32004447606292 56007783311011 112015566622022 224031133244044