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220020223000 = 23532293372851
BaseRepresentation
bin1100110011101000111…
…0100010110000011000
3210000220120212101111011
43030322032202300120
512101100134114000
6245024220543304
721616210016044
oct3147216426030
9700816771434
10220020223000
1185345753046
12367843b1b34
1317994c57886
14a912d4d024
155acad872ba
hex333a3a2c18

220020223000 has 128 divisors (see below), whose sum is σ = 518811883200. Its totient is φ = 87333120000.

The previous prime is 220020222991. The next prime is 220020223021. The reversal of 220020223000 is 322020022.

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 31 ways as a sum of consecutive naturals, for example, 77171575 + ... + 77174425.

Almost surely, 2220020223000 is an apocalyptic number.

220020223000 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 220020223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259405941600).

220020223000 is an abundant number, since it is smaller than the sum of its proper divisors (298791660200).

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

220020223000 is a wasteful number, since it uses less digits than its factorization.

220020223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 220020223000 its reverse (322020022), we get a palindrome (220342243022).

The spelling of 220020223000 in words is "two hundred twenty billion, twenty million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 229 250 337 458 500 674 916 1000 1145 1348 1685 1832 2290 2696 2851 3370 4580 5702 5725 6740 8425 9160 11404 11450 13480 14255 16850 22808 22900 28510 28625 33700 42125 45800 57020 57250 67400 71275 77173 84250 114040 114500 142550 154346 168500 229000 285100 308692 337000 356375 385865 570200 617384 652879 712750 771730 960787 1305758 1425500 1543460 1921574 1929325 2611516 2851000 3086920 3264395 3843148 3858650 4803935 5223032 6528790 7686296 7717300 9607870 9646625 13057580 15434600 16321975 19215740 19293250 24019675 26115160 32643950 38431480 38586500 48039350 65287900 77173000 81609875 96078700 120098375 130575800 163219750 192157400 220020223 240196750 326439500 440040446 480393500 652879000 880080892 960787000 1100101115 1760161784 2200202230 4400404460 5500505575 8800808920 11001011150 22002022300 27502527875 44004044600 55005055750 110010111500 220020223000