Search a number
-
+
220022123300 = 2252713714531579
BaseRepresentation
bin1100110011101001010…
…1110010101100100100
3210000220201102221012122
43030322111302230210
512101101130421200
6245024325405112
721616232122220
oct3147225625444
9700821387178
10220022123300
1185346830841
1236784b69798
1317995471805
14a9132c5780
155acb110385
hex333a572b24

220022123300 has 144 divisors (see below), whose sum is σ = 550364357760. Its totient is φ = 74786595840.

The previous prime is 220022123281. The next prime is 220022123309. The reversal of 220022123300 is 3321220022.

220022123300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220022123309) by changing a digit.

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, 139341911 + ... + 139343489.

Almost surely, 2220022123300 is an apocalyptic number.

220022123300 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 220022123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275182178880).

220022123300 is an abundant number, since it is smaller than the sum of its proper divisors (330342234460).

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

220022123300 is a wasteful number, since it uses less digits than its factorization.

220022123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 220022123300 its reverse (3321220022), we get a palindrome (223343343322).

The spelling of 220022123300 in words is "two hundred twenty billion, twenty-two million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 137 140 175 274 350 548 685 700 959 1370 1453 1579 1918 2740 2906 3158 3425 3836 4795 5812 6316 6850 7265 7895 9590 10171 11053 13700 14530 15790 19180 20342 22106 23975 29060 31580 36325 39475 40684 44212 47950 50855 55265 72650 78950 95900 101710 110530 145300 157900 199061 203420 216323 221060 254275 276325 398122 432646 508550 552650 796244 865292 995305 1017100 1081615 1105300 1393427 1514261 1990610 2163230 2294287 2786854 3028522 3981220 4326460 4588574 4976525 5408075 5573708 6057044 6967135 7571305 9177148 9953050 10816150 11471435 13934270 15142610 16060009 19906100 21632300 22942870 27868540 30285220 32120018 34835675 37856525 45885740 57357175 64240036 69671350 75713050 80300045 114714350 139342700 151426100 160600090 229428700 314317319 321200180 401500225 628634638 803000450 1257269276 1571586595 1606000900 2200221233 3143173190 4400442466 6286346380 7857932975 8800884932 11001106165 15715865950 22002212330 31431731900 44004424660 55005530825 110011061650 220022123300