Search a number
-
+
220863000 = 2335383887
BaseRepresentation
bin11010010101000…
…01101000011000
3120101121000002010
431022201220120
5423020104000
633525505520
75321206311
oct1512415030
9511530063
10220863000
11103742706
1261b722a0
13369b0487
1421493608
15145cad50
hexd2a1a18

220863000 has 128 divisors (see below), whose sum is σ = 698181120. Its totient is φ = 58121600.

The previous prime is 220862969. The next prime is 220863017. The reversal of 220863000 is 368022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248557 + ... + 249443.

It is an arithmetic number, because the mean of its divisors is an integer number (5454540).

Almost surely, 2220863000 is an apocalyptic number.

220863000 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 220863000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560).

220863000 is an abundant number, since it is smaller than the sum of its proper divisors (477318120).

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

220863000 is a wasteful number, since it uses less digits than its factorization.

220863000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 220863000 is about 14861.4602243521. The cubic root of 220863000 is about 604.4694025142.

The spelling of 220863000 in words is "two hundred twenty million, eight hundred sixty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 249 250 300 332 375 415 498 500 600 664 750 830 887 996 1000 1245 1500 1660 1774 1992 2075 2490 2661 3000 3320 3548 4150 4435 4980 5322 6225 7096 8300 8870 9960 10375 10644 12450 13305 16600 17740 20750 21288 22175 24900 26610 31125 35480 41500 44350 49800 53220 62250 66525 73621 83000 88700 106440 110875 124500 133050 147242 177400 220863 221750 249000 266100 294484 332625 368105 441726 443500 532200 588968 665250 736210 883452 887000 1104315 1330500 1472420 1766904 1840525 2208630 2661000 2944840 3681050 4417260 5521575 7362100 8834520 9202625 11043150 14724200 18405250 22086300 27607875 36810500 44172600 55215750 73621000 110431500 220863000