Search a number
-
+
200223020333232 = 243213467922858889
BaseRepresentation
bin101101100001101000001110…
…000000001011100010110000
3222020221010121112201211121100
4231201220032000023202300
5202220423221201130412
61545501104041124400
760113431045005621
oct5541501600134260
9866833545654540
10200223020333232
11588851191a1636
121a558690489700
138794c469391c0
143762bbb1a7a48
1518233d84dcedc
hexb61a0e00b8b0

200223020333232 has 120 divisors (see below), whose sum is σ = 603578932538400. Its totient is φ = 61593913764864.

The previous prime is 200223020333221. The next prime is 200223020333233. The reversal of 200223020333232 is 232333020322002.

200223020333232 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 302 + 0 + 33 + 323 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 200223020333196 and 200223020333205.

It is not an unprimeable number, because it can be changed into a prime (200223020333233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2670357 + ... + 20188532.

It is an arithmetic number, because the mean of its divisors is an integer number (5029824437820).

Almost surely, 2200223020333232 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 200223020333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301789466269200).

200223020333232 is an abundant number, since it is smaller than the sum of its proper divisors (403355912205168).

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

200223020333232 is a wasteful number, since it uses less digits than its factorization.

200223020333232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22863595 (or 22863586 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 200223020333232 its reverse (232333020322002), we get a palindrome (432556040655234).

The spelling of 200223020333232 in words is "two hundred trillion, two hundred twenty-three billion, twenty million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 4679 9358 14037 18716 28074 37432 42111 56148 60827 74864 84222 112296 121654 168444 182481 224592 243308 336888 364962 486616 547443 673776 729924 973232 1094886 1459848 2189772 2919696 4379544 8759088 22858889 45717778 68576667 91435556 137153334 182871112 205730001 274306668 297165557 365742224 411460002 548613336 594331114 822920004 891496671 1097226672 1188662228 1645840008 1782993342 2377324456 2674490013 3291680016 3565986684 4754648912 5348980026 7131973368 10697960052 14263946736 21395920104 42791840208 106956741631 213913483262 320870224893 427826966524 641740449786 855653933048 962610674679 1283480899572 1390437641203 1711307866096 1925221349358 2566961799144 2780875282406 3850442698716 4171312923609 5133923598288 5561750564812 7700885397432 8342625847218 11123501129624 12513938770827 15401770794864 16685251694436 22247002259248 25027877541654 33370503388872 50055755083308 66741006777744 100111510166616 200223020333232