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334313441022220 = 2251119728499270667
BaseRepresentation
bin100110000000011100110100…
…1111001010101000100001100
31121211201001102111220202020021
41030000321221321111010030
5322304342411400202340
63143005250302231524
7130263230503000552
oct11400715171250414
91554631374822207
10334313441022220
1197582596a18370
12315b4226b855a4
131147081201557a
145c7abdd3d1bd2
15289b3d6cbbe4a
hex1300e69e5510c

334313441022220 has 96 divisors (see below), whose sum is σ = 769799280096000. Its totient is φ = 120946733994240.

The previous prime is 334313441022203. The next prime is 334313441022233. The reversal of 334313441022220 is 22220144313433.

It is a super-2 number, since 2×3343134410222202 (a number of 30 digits) contains 22 as substring.

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, 1235011327 + ... + 1235281993.

It is an arithmetic number, because the mean of its divisors is an integer number (8018742501000).

Almost surely, 2334313441022220 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 334313441022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384899640048000).

334313441022220 is an abundant number, since it is smaller than the sum of its proper divisors (435485839073780).

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

334313441022220 is a wasteful number, since it uses less digits than its factorization.

334313441022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299383 (or 299381 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 334313441022220 its reverse (22220144313433), we get a palindrome (356533585335653).

The spelling of 334313441022220 in words is "three hundred thirty-four trillion, three hundred thirteen billion, four hundred forty-one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 985 1970 2167 3940 4334 8668 10835 21670 28499 43340 56998 113996 142495 270667 284990 313489 541334 569980 626978 1082668 1253956 1353335 1567445 2706670 2977337 3134890 5413340 5614303 5954674 6269780 11228606 11909348 14886685 22457212 28071515 29773370 53321399 56143030 59546740 61757333 106642798 112286060 123514666 213285596 247029332 266606995 308786665 533213990 586535389 617573330 1066427980 1173070778 1235146660 2346141556 2932676945 5865353890 7713738833 11730707780 15427477666 30854955332 38568694165 77137388330 84851127163 154274776660 169702254326 339404508652 424255635815 848511271630 1519606550101 1697022543260 3039213100202 6078426200404 7598032750505 15196065501010 16715672051111 30392131002020 33431344102222 66862688204444 83578360255555 167156720511110 334313441022220