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220143120 = 243519232099
BaseRepresentation
bin11010001111100…
…01111000010000
3120100020102120220
431013301320100
5422324034440
633502233040
75312120451
oct1507617020
9510212526
10220143120
111032a086a
1261885780
13367ba902
1421347128
15144d78d0
hexd1f1e10

220143120 has 160 divisors (see below), whose sum is σ = 749952000. Its totient is φ = 53171712.

The previous prime is 220143113. The next prime is 220143127. The reversal of 220143120 is 21341022.

It is an interprime number because it is at equal distance from previous prime (220143113) and next prime (220143127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220143120.

It is not an unprimeable number, because it can be changed into a prime (220143127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103831 + ... + 105929.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2220143120 is an apocalyptic number.

220143120 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 220143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

220143120 is an abundant number, since it is smaller than the sum of its proper divisors (529808880).

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

220143120 is a wasteful number, since it uses less digits than its factorization.

220143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 220143120 is about 14837.2207640110. The cubic root of 220143120 is about 603.8119526291.

Adding to 220143120 its reverse (21341022), we get a palindrome (241484142).

The spelling of 220143120 in words is "two hundred twenty million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 38 40 46 48 57 60 69 76 80 92 95 114 115 120 138 152 184 190 228 230 240 276 285 304 345 368 380 437 456 460 552 570 690 760 874 912 920 1104 1140 1311 1380 1520 1748 1840 2099 2185 2280 2622 2760 3496 4198 4370 4560 5244 5520 6297 6555 6992 8396 8740 10488 10495 12594 13110 16792 17480 20976 20990 25188 26220 31485 33584 34960 39881 41980 48277 50376 52440 62970 79762 83960 96554 100752 104880 119643 125940 144831 159524 167920 193108 199405 239286 241385 251880 289662 319048 386216 398810 478572 482770 503760 579324 598215 638096 724155 772432 797620 917263 957144 965540 1158648 1196430 1448310 1595240 1834526 1914288 1931080 2317296 2392860 2751789 2896620 3190480 3669052 3862160 4586315 4785720 5503578 5793240 7338104 9172630 9571440 11007156 11586480 13758945 14676208 18345260 22014312 27517890 36690520 44028624 55035780 73381040 110071560 220143120