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223140060 = 2232511138669
BaseRepresentation
bin11010100110011…
…01100011011100
3120112212200121200
431103031203130
5424110440220
634050355500
75346442053
oct1523154334
9515780550
10223140060
11104a58480
126288bb90
13372c9a50
14218c739a
15148ca890
hexd4cd8dc

223140060 has 144 divisors (see below), whose sum is σ = 795281760. Its totient is φ = 49927680.

The previous prime is 223140041. The next prime is 223140091. The reversal of 223140060 is 60041322.

It is a happy number.

It is a super-3 number, since 3×2231400603 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21406 + ... + 30074.

It is an arithmetic number, because the mean of its divisors is an integer number (5522790).

Almost surely, 2223140060 is an apocalyptic number.

223140060 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 223140060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397640880).

223140060 is an abundant number, since it is smaller than the sum of its proper divisors (572141700).

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

223140060 is a wasteful number, since it uses less digits than its factorization.

223140060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8708 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223140060 is about 14937.8733426147. The cubic root of 223140060 is about 606.5396297755.

Adding to 223140060 its reverse (60041322), we get a palindrome (283181382).

The spelling of 223140060 in words is "two hundred twenty-three million, one hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 8669 12870 17338 25740 26007 34676 43345 52014 78021 86690 95359 104028 112697 130035 156042 173380 190718 225394 260070 286077 312084 338091 381436 390105 450788 476795 520140 563485 572154 676182 780210 858231 953590 1014273 1126970 1144308 1239667 1352364 1430385 1560420 1690455 1716462 1907180 2028546 2253940 2479334 2860770 3380910 3432924 3719001 4057092 4291155 4958668 5071365 5721540 6198335 6761820 7438002 8582310 10142730 11157003 12396670 14876004 17164620 18595005 20285460 22314006 24793340 37190010 44628012 55785015 74380020 111570030 223140060