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270162112220 = 2257111321038047
BaseRepresentation
bin1111101110011011101…
…0101010111011011100
3221211100001200021112022
43323212322222323130
513411243000042340
6324035531355312
725342604031020
oct3734672527334
9854301607468
10270162112220
11a4636518610
12444388b2b38
131c626216800
14d10c456380
157062e083b5
hex3ee6eaaedc

270162112220 has 144 divisors (see below), whose sum is σ = 765929945088. Its totient is φ = 77728884480.

The previous prime is 270162112189. The next prime is 270162112223. The reversal of 270162112220 is 22211261072.

270162112220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 270162112220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270162112223) 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, 258764 + ... + 779283.

It is an arithmetic number, because the mean of its divisors is an integer number (5318957952).

Almost surely, 2270162112220 is an apocalyptic number.

270162112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270162112220 is an abundant number, since it is smaller than the sum of its proper divisors (495767832868).

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

270162112220 is a wasteful number, since it uses less digits than its factorization.

270162112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038100 (or 1038085 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 270162112220 its reverse (22211261072), we get a palindrome (292373373292).

The spelling of 270162112220 in words is "two hundred seventy billion, one hundred sixty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 220 260 286 308 338 364 385 455 572 676 715 770 845 910 1001 1183 1430 1540 1690 1820 1859 2002 2366 2860 3380 3718 4004 4732 5005 5915 7436 9295 10010 11830 13013 18590 20020 23660 26026 37180 52052 65065 130130 260260 1038047 2076094 4152188 5190235 7266329 10380470 11418517 13494611 14532658 20760940 22837034 26989222 29065316 36331645 45674068 53978444 57092585 67473055 72663290 79929619 94462277 114185170 134946110 145326580 148440721 159859238 175429943 188924554 228370340 269892220 296881442 319718476 350859886 377849108 399648095 472311385 593762884 701719772 742203605 799296190 877149715 944622770 1039085047 1228009601 1484407210 1598592380 1754299430 1889245540 1929729373 2078170094 2456019202 2968814420 3508598860 3859458746 4156340188 4912038404 5195425235 6140048005 7718917492 9648646865 10390850470 12280096010 13508105611 19297293730 20781700940 24560192020 27016211222 38594587460 54032422444 67540528055 135081056110 270162112220