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220000111000 = 23531726474889
BaseRepresentation
bin1100110011100100000…
…1110100100110011000
3210000212012000121000021
43030321001310212120
512101030012023000
6245022221520224
721615544042345
oct3147101644630
9700765017007
10220000111000
118533536665a
1236779713074
1317990a35497
14a9103d57cc
155ac921311a
hex3339074998

220000111000 has 128 divisors (see below), whose sum is σ = 545400086400. Its totient is φ = 82775347200.

The previous prime is 220000110997. The next prime is 220000111003. The reversal of 220000111000 is 111000022.

It is an interprime number because it is at equal distance from previous prime (220000110997) and next prime (220000111003).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220000111003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44996556 + ... + 45001444.

It is an arithmetic number, because the mean of its divisors is an integer number (4260938175).

Almost surely, 2220000111000 is an apocalyptic number.

220000111000 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 220000111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272700043200).

220000111000 is an abundant number, since it is smaller than the sum of its proper divisors (325399975400).

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

220000111000 is a wasteful number, since it uses less digits than its factorization.

220000111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 220000111000 its reverse (111000022), we get a palindrome (220111111022).

The spelling of 220000111000 in words is "two hundred twenty billion, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 2647 3400 4250 4889 5294 8500 9778 10588 13235 17000 19556 21176 24445 26470 39112 44999 48890 52940 66175 83113 89998 97780 105880 122225 132350 166226 179996 195560 224995 244450 264700 330875 332452 359992 415565 449990 488900 529400 611125 661750 664904 831130 899980 977800 1124975 1222250 1323500 1662260 1799960 2077825 2249950 2444500 2647000 3324520 4155650 4499900 4889000 5624875 8311300 8999800 10389125 11249750 12941183 16622600 20778250 22499500 25882366 41556500 44999000 51764732 64705915 83113000 103529464 129411830 220000111 258823660 323529575 440000222 517647320 647059150 880000444 1100000555 1294118300 1617647875 1760000888 2200001110 2588236600 3235295750 4400002220 5500002775 6470591500 8800004440 11000005550 12941183000 22000011100 27500013875 44000022200 55000027750 110000055500 220000111000