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220230023300 = 225273119751517
BaseRepresentation
bin1100110100011010111…
…0110111100010000100
3210001110012122100101122
43031012232313202010
512102012341221200
6245101113413112
721624335211530
oct3150656674204
9701405570348
10220230023300
118544311a121
123682270a198
13179c9563871
14a932b62bc0
155ade4ca385
hex3346bb7884

220230023300 has 144 divisors (see below), whose sum is σ = 566661731328. Its totient is φ = 72699379200.

The previous prime is 220230023297. The next prime is 220230023333. The reversal of 220230023300 is 3320032022.

220230023300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4249142 + ... + 4300658.

It is an arithmetic number, because the mean of its divisors is an integer number (3935150912).

Almost surely, 2220230023300 is an apocalyptic number.

220230023300 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 220230023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283330865664).

220230023300 is an abundant number, since it is smaller than the sum of its proper divisors (346431708028).

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

220230023300 is a wasteful number, since it uses less digits than its factorization.

220230023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51766 (or 51759 counting only the distinct ones).

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

Adding to 220230023300 its reverse (3320032022), we get a palindrome (223550055322).

The spelling of 220230023300 in words is "two hundred twenty billion, two hundred thirty million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 197 217 310 350 394 434 620 700 775 788 868 985 1085 1379 1550 1970 2170 2758 3100 3940 4340 4925 5425 5516 6107 6895 9850 10850 12214 13790 19700 21700 24428 27580 30535 34475 42749 51517 61070 68950 85498 103034 122140 137900 152675 170996 206068 213745 257585 305350 360619 427490 515170 610700 721238 854980 1030340 1068725 1287925 1442476 1597027 1803095 2137450 2575850 3194054 3606190 4274900 5151700 6388108 7212380 7985135 9015475 10148849 11179189 15970270 18030950 20297698 22358378 31940540 36061900 39925675 40595396 44716756 50744245 55895945 71041943 79851350 101488490 111791890 142083886 159702700 202976980 223583780 253721225 279479725 284167772 314614319 355209715 507442450 558959450 629228638 710419430 1014884900 1117918900 1258457276 1420838860 1573071595 1776048575 2202300233 3146143190 3552097150 4404600466 6292286380 7104194300 7865357975 8809200932 11011501165 15730715950 22023002330 31461431900 44046004660 55057505825 110115011650 220230023300