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218030280 = 2335133827
BaseRepresentation
bin11001111111011…
…10000011001000
3120012021002022120
430333232003020
5421303432110
633345051240
75255140536
oct1477560310
9505232276
10218030280
11102088416
1261026b20
133622b000
1420d57156
151421b870
hexcfee0c8

218030280 has 128 divisors (see below), whose sum is σ = 709430400. Its totient is φ = 53604096.

The previous prime is 218030273. The next prime is 218030327. The reversal of 218030280 is 82030812.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 218030280.

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, 263227 + ... + 264053.

It is an arithmetic number, because the mean of its divisors is an integer number (5542425).

Almost surely, 2218030280 is an apocalyptic number.

218030280 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 218030280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354715200).

218030280 is an abundant number, since it is smaller than the sum of its proper divisors (491400120).

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

218030280 is a wasteful number, since it uses less digits than its factorization.

218030280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 218030280 is about 14765.8484348174. The cubic root of 218030280 is about 601.8740294840.

The spelling of 218030280 in words is "two hundred eighteen million, thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 827 845 1014 1352 1560 1654 1690 2028 2197 2481 2535 3308 3380 4056 4135 4394 4962 5070 6591 6616 6760 8270 8788 9924 10140 10751 10985 12405 13182 16540 17576 19848 20280 21502 21970 24810 26364 32253 32955 33080 43004 43940 49620 52728 53755 64506 65910 86008 87880 99240 107510 129012 131820 139763 161265 215020 258024 263640 279526 322530 419289 430040 559052 645060 698815 838578 1118104 1290120 1397630 1677156 1816919 2096445 2795260 3354312 3633838 4192890 5450757 5590520 7267676 8385780 9084595 10901514 14535352 16771560 18169190 21803028 27253785 36338380 43606056 54507570 72676760 109015140 218030280