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6000223560 = 2335198093253
BaseRepresentation
bin1011001011010010…
…00010010101001000
3120111011110221100020
411211221002111020
544242024123220
62431221340440
7301456026102
oct54551022510
916434427306
106000223560
1125a9a73851
1211b5567720
13748146756
1440cc6a572
15251b7e040
hex165a42548

6000223560 has 128 divisors (see below), whose sum is σ = 18977328000. Its totient is φ = 1513506816.

The previous prime is 6000223549. The next prime is 6000223591. The reversal of 6000223560 is 653220006.

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 6000223560.

It is an unprimeable number.

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, 1842894 + ... + 1846146.

It is an arithmetic number, because the mean of its divisors is an integer number (148260375).

Almost surely, 26000223560 is an apocalyptic number.

6000223560 is a gapful number since it is divisible by the number (60) 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 6000223560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488664000).

6000223560 is an abundant number, since it is smaller than the sum of its proper divisors (12977104440).

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

6000223560 is a wasteful number, since it uses less digits than its factorization.

6000223560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 6000223560 is about 77461.1099843012. The cubic root of 6000223560 is about 1817.1431611896.

Adding to 6000223560 its reverse (653220006), we get a palindrome (6653443566).

The spelling of 6000223560 in words is "six billion, two hundred twenty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 809 1140 1618 2280 2427 3236 3253 4045 4854 6472 6506 8090 9708 9759 12135 13012 15371 16180 16265 19416 19518 24270 26024 30742 32360 32530 39036 46113 48540 48795 61484 61807 65060 76855 78072 92226 97080 97590 122968 123614 130120 153710 184452 185421 195180 230565 247228 307420 309035 368904 370842 390360 461130 494456 614840 618070 741684 922260 927105 1236140 1483368 1844520 1854210 2472280 2631677 3708420 5263354 7416840 7895031 10526708 13158385 15790062 21053416 26316770 31580124 39475155 50001863 52633540 63160248 78950310 100003726 105267080 150005589 157900620 200007452 250009315 300011178 315801240 400014904 500018630 600022356 750027945 1000037260 1200044712 1500055890 2000074520 3000111780 6000223560