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220343243403420 = 2232523291835276057
BaseRepresentation
bin110010000110011010101000…
…110000000111000010011100
31001220011121102111010002112100
4302012122220300013002130
5212340100430302402140
62100344142201005100
764261162660204404
oct6206325060070234
91056147374102470
10220343243403420
1164232054623715
1220867bb6483790
1395c43813ab297
143c5a954237804
151a71977bde530
hexc866a8c0709c

220343243403420 has 144 divisors (see below), whose sum is σ = 721483723920960. Its totient is φ = 54265442423808.

The previous prime is 220343243403401. The next prime is 220343243403461. The reversal of 220343243403420 is 24304342343022.

220343243403420 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 4 + 3 + 243 + 403 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×2203432434034202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 917517969 + ... + 917758088.

It is an arithmetic number, because the mean of its divisors is an integer number (5010303638340).

Almost surely, 2220343243403420 is an apocalyptic number.

220343243403420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220343243403420 is an abundant number, since it is smaller than the sum of its proper divisors (501140480517540).

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

220343243403420 is a wasteful number, since it uses less digits than its factorization.

220343243403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835276124 (or 1835276119 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 220343243403420 its reverse (24304342343022), we get a palindrome (244647585746442).

The spelling of 220343243403420 in words is "two hundred twenty trillion, three hundred forty-three billion, two hundred forty-three million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 29 30 36 45 46 58 60 69 87 90 92 115 116 138 145 174 180 207 230 261 276 290 345 348 414 435 460 522 580 667 690 828 870 1035 1044 1305 1334 1380 1740 2001 2070 2610 2668 3335 4002 4140 5220 6003 6670 8004 10005 12006 13340 20010 24012 30015 40020 60030 120060 1835276057 3670552114 5505828171 7341104228 9176380285 11011656342 16517484513 18352760570 22023312684 27529140855 33034969026 36705521140 42211349311 53223005653 55058281710 66069938052 82587422565 84422698622 106446011306 110116563420 126634047933 159669016959 165174845130 168845397244 211056746555 212892022612 253268095866 266115028265 319338033918 330349690260 379902143799 422113493110 479007050877 506536191732 532230056530 633170239665 638676067836 759804287598 798345084795 844226986220 958014101754 1064460113060 1224129130019 1266340479330 1519608575196 1596690169590 1899510718995 1916028203508 2395035254385 2448258260038 2532680958660 3193380339180 3672387390057 3799021437990 4790070508770 4896516520076 6120645650095 7344774780114 7598042875980 9580141017540 11017162170171 12241291300190 14689549560228 18361936950285 22034324340342 24482582600380 36723873900570 44068648680684 55085810850855 73447747801140 110171621701710 220343243403420