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2223030320 = 245759611103
BaseRepresentation
bin1000010010000000…
…1100000000110000
312201221000122022022
42010200030000300
514023043432240
61004331131012
7106042305650
oct20440140060
95657018268
102223030320
11a4092a645
125205a3a68
13295736174
14171354360
15d026a9b5
hex8480c030

2223030320 has 160 divisors (see below), whose sum is σ = 6111037440. Its totient is φ = 736312320.

The previous prime is 2223030317. The next prime is 2223030361. The reversal of 2223030320 is 230303222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2014889 + ... + 2015991.

It is an arithmetic number, because the mean of its divisors is an integer number (38193984).

Almost surely, 22223030320 is an apocalyptic number.

2223030320 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 2223030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055518720).

2223030320 is an abundant number, since it is smaller than the sum of its proper divisors (3888007120).

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

2223030320 is a wasteful number, since it uses less digits than its factorization.

2223030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2223030320 is about 47149.0224713090. The cubic root of 2223030320 is about 1305.1140410118.

Adding to 2223030320 its reverse (230303222), we get a palindrome (2453333542).

It can be divided in two parts, 2 and 223030320, that added together give a palindrome (223030322).

The spelling of 2223030320 in words is "two billion, two hundred twenty-three million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 61 70 80 112 118 122 140 236 244 280 295 305 413 427 472 488 560 590 610 826 854 944 976 1103 1180 1220 1652 1708 2065 2135 2206 2360 2440 3304 3416 3599 4130 4270 4412 4720 4880 5515 6608 6832 7198 7721 8260 8540 8824 11030 14396 15442 16520 17080 17648 17995 22060 25193 28792 30884 33040 34160 35990 38605 44120 50386 57584 61768 65077 67283 71980 77210 88240 100772 123536 125965 130154 134566 143960 154420 201544 251930 260308 269132 287920 308840 325385 336415 403088 455539 470981 503860 520616 538264 617680 650770 672830 911078 941962 1007720 1041232 1076528 1301540 1345660 1822156 1883924 2015440 2277695 2354905 2603080 2691320 3644312 3767848 3969697 4555390 4709810 5206160 5382640 7288624 7535696 7939394 9110780 9419620 15878788 18221560 18839240 19848485 27787879 31757576 36443120 37678480 39696970 55575758 63515152 79393940 111151516 138939395 158787880 222303032 277878790 317575760 444606064 555757580 1111515160 2223030320