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20223200003220 = 22325375039602603
BaseRepresentation
bin1001001100100100101001…
…01001110000010010010100
32122121022121120122110120200
410212102110221300102110
510122314103200100340
6111002224304500500
74155035514525144
oct446222451602224
978538546573520
1020223200003220
11649767a203015
12232748491a730
13b39068c4a966
144dcb45610924
152510b9e75330
hex126494a70494

20223200003220 has 144 divisors (see below), whose sum is σ = 63014252071680. Its totient is φ = 5246050537728.

The previous prime is 20223200003219. The next prime is 20223200003231. The reversal of 20223200003220 is 2230000232202.

20223200003220 is a `hidden beast` number, since 2 + 0 + 22 + 320 + 0 + 0 + 0 + 322 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20223200003193 and 20223200003202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33258439 + ... + 33861041.

It is an arithmetic number, because the mean of its divisors is an integer number (437598972720).

Almost surely, 220223200003220 is an apocalyptic number.

20223200003220 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 20223200003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31507126035840).

20223200003220 is an abundant number, since it is smaller than the sum of its proper divisors (42791052068460).

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

20223200003220 is a wasteful number, since it uses less digits than its factorization.

20223200003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607694 (or 607689 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20223200003220 its reverse (2230000232202), we get a palindrome (22453200235422).

The spelling of 20223200003220 in words is "twenty trillion, two hundred twenty-three billion, two hundred million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 5039 6660 10078 15117 20156 25195 30234 45351 50390 60468 75585 90702 100780 151170 181404 186443 226755 302340 372886 453510 559329 602603 745772 907020 932215 1118658 1205206 1677987 1807809 1864430 2237316 2410412 2796645 3013015 3355974 3615618 3728860 5423427 5593290 6026030 6711948 7231236 8389935 9039045 10846854 11186580 12052060 16779870 18078090 21693708 22296311 27117135 33559740 36156180 44592622 54234270 66888933 89185244 108468540 111481555 133777866 200666799 222963110 267555732 334444665 401333598 445926220 668889330 802667196 1003333995 1337778660 2006667990 3036516517 4013335980 6073033034 9109549551 12146066068 15182582585 18219099102 27328648653 30365165170 36438198204 45547747755 54657297306 60730330340 91095495510 109314594612 112351111129 136643243265 182190991020 224702222258 273286486530 337053333387 449404444516 546572973060 561755555645 674106666774 1011160000161 1123511111290 1348213333548 1685266666935 2022320000322 2247022222580 3370533333870 4044640000644 5055800000805 6741066667740 10111600001610 20223200003220