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244124204220 = 2232513598117443
BaseRepresentation
bin1110001101011011101…
…1111011110010111100
3212100010102202111121100
43203112323323302330
512444431244013340
6304052112533100
723431424332551
oct3432673736274
9770112674540
10244124204220
1194594826986
123b390851190
131a03695c860
14bb5c2d4a28
15653c067830
hex38d6efbcbc

244124204220 has 144 divisors (see below), whose sum is σ = 797651461152. Its totient is φ = 60078620160.

The previous prime is 244124204201. The next prime is 244124204227. The reversal of 244124204220 is 22402421442.

244124204220 is a `hidden beast` number, since 2 + 4 + 4 + 12 + 420 + 4 + 220 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244124204227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13986819 + ... + 14004261.

It is an arithmetic number, because the mean of its divisors is an integer number (5539246258).

Almost surely, 2244124204220 is an apocalyptic number.

244124204220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244124204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398825730576).

244124204220 is an abundant number, since it is smaller than the sum of its proper divisors (553527256932).

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

244124204220 is a wasteful number, since it uses less digits than its factorization.

244124204220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23452 (or 23447 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 244124204220 its reverse (22402421442), we get a palindrome (266526625662).

The spelling of 244124204220 in words is "two hundred forty-four billion, one hundred twenty-four million, two hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5981 11962 17443 17943 23924 29905 34886 35886 52329 53829 59810 69772 71772 77753 87215 89715 104658 107658 119620 155506 156987 174430 179430 209316 215316 226759 233259 261645 269145 311012 313974 348860 358860 388765 453518 466518 523290 538290 627948 680277 699777 777530 784935 907036 933036 1046580 1076580 1133795 1166295 1360554 1399554 1555060 1569870 2040831 2267590 2332590 2721108 2799108 3139740 3401385 3498885 4081662 4535180 4665180 6802770 6997770 8163324 10204155 13605540 13995540 20408310 40816620 104326583 208653166 312979749 417306332 521632915 625959498 938939247 1043265830 1251918996 1356245579 1564898745 1877878494 2086531660 2712491158 3129797490 3755756988 4068736737 4694696235 5424982316 6259594980 6781227895 8137473474 9389392470 12206210211 13562455790 16274946948 18778784940 20343683685 24412420422 27124911580 40687367370 48824840844 61031051055 81374734740 122062102110 244124204220