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334023442220220 = 2235171753186807737
BaseRepresentation
bin100101111110010101110010…
…0100111101100010010111100
31121210200022220000000012221220
41023330223210213230102330
5322240120002202021340
63142224130113353340
7130233253165566654
oct11374534447542274
91553608800005856
10334023442220220
1197480601184165
1231567b92b68850
131144c3772034cc
145c6ab6c645364
152893ab2655ed0
hex12fcae49ec4bc

334023442220220 has 96 divisors (see below), whose sum is σ = 990846175894848. Its totient is φ = 83785511288832.

The previous prime is 334023442220201. The next prime is 334023442220423. The reversal of 334023442220220 is 22022244320433.

It is a super-2 number, since 2×3340234422202202 (a number of 30 digits) contains 22 as substring.

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, 91615809 + ... + 95191928.

It is an arithmetic number, because the mean of its divisors is an integer number (10321314332238).

Almost surely, 2334023442220220 is an apocalyptic number.

334023442220220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334023442220220 is an abundant number, since it is smaller than the sum of its proper divisors (656822733674628).

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

334023442220220 is a wasteful number, since it uses less digits than its factorization.

334023442220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186809519 (or 186809517 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 334023442220220 its reverse (22022244320433), we get a palindrome (356045686540653).

The spelling of 334023442220220 in words is "three hundred thirty-four trillion, twenty-three billion, four hundred forty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1753 3506 5259 7012 8765 10518 17530 21036 26295 29801 35060 52590 59602 89403 105180 119204 149005 178806 298010 357612 447015 596020 894030 1788060 186807737 373615474 560423211 747230948 934038685 1120846422 1868077370 2241692844 2802116055 3175731529 3736154740 5604232110 6351463058 9527194587 11208464220 12702926116 15878657645 19054389174 31757315290 38108778348 47635972935 63514630580 95271945870 190543891740 327473962961 654947925922 982421888883 1309895851844 1637369814805 1964843777766 3274739629610 3929687555532 4912109444415 5567057370337 6549479259220 9824218888830 11134114740674 16701172111011 19648437777660 22268229481348 27835286851685 33402344222022 55670573703370 66804688444044 83505860555055 111341147406740 167011721110110 334023442220220