Search a number
-
+
412303212220 = 225313794718979
BaseRepresentation
bin1011111111111110010…
…11111011111010111100
31110102020010020022022111
411333333023323322330
523223344110242340
6513224240423404
741534154323254
oct5777713737274
91412203208274
10412303212220
11149947461889
1267aa7617b64
132cb59556a83
1415d5418c964
15aad1aaeaea
hex5fff2fbebc

412303212220 has 96 divisors (see below), whose sum is σ = 918940538880. Its totient is φ = 155115544320.

The previous prime is 412303212203. The next prime is 412303212353. The reversal of 412303212220 is 22212303214.

It is a junction number, because it is equal to n+sod(n) for n = 412303212191 and 412303212200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21714691 + ... + 21733669.

It is an arithmetic number, because the mean of its divisors is an integer number (9572297280).

Almost surely, 2412303212220 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 412303212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459470269440).

412303212220 is an abundant number, since it is smaller than the sum of its proper divisors (506637326660).

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

412303212220 is a wasteful number, since it uses less digits than its factorization.

412303212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20003 (or 20001 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 412303212220 its reverse (22212303214), we get a palindrome (434515515434).

The spelling of 412303212220 in words is "four hundred twelve billion, three hundred three million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 947 1147 1894 2294 3788 4588 4735 5735 9470 11470 18940 18979 22940 29357 35039 37958 58714 70078 75916 94895 117428 140156 146785 175195 189790 293570 350390 379580 587140 588349 700780 702223 1086209 1176698 1404446 2172418 2353396 2808892 2941745 3511115 4344836 5431045 5883490 7022230 10862090 11766980 14044460 17973113 21724180 21768913 35946226 43537826 71892452 87075652 89865565 108844565 179731130 217689130 359462260 435378260 557166503 665005181 1114333006 1330010362 2228666012 2660020724 2785832515 3325025905 5571665030 6650051810 11143330060 13300103620 20615160611 41230321222 82460642444 103075803055 206151606110 412303212220