Search a number
-
+
220021010202 = 237231109221477
BaseRepresentation
bin1100110011101001000…
…1100010111100011010
3210000220122100101022210
43030322101202330122
512101100334311302
6245024245455550
721616216505100
oct3147221427432
9700818311283
10220021010202
1185346140524
12367847115b6
1317995171c86
14a9130b5c70
155acae9066c
hex333a462f1a

220021010202 has 96 divisors (see below), whose sum is σ = 533248151040. Its totient is φ = 60276908160.

The previous prime is 220021010191. The next prime is 220021010203. The reversal of 220021010202 is 202010120022.

220021010202 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 (220021010203) 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, 882688 + ... + 1104164.

It is an arithmetic number, because the mean of its divisors is an integer number (5554668240).

Almost surely, 2220021010202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220021010202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266624075520).

220021010202 is an abundant number, since it is smaller than the sum of its proper divisors (313227140838).

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

220021010202 is a wasteful number, since it uses less digits than its factorization.

220021010202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221636 (or 221629 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220021010202 its reverse (202010120022), we get a palindrome (422031130224).

The spelling of 220021010202 in words is "two hundred twenty billion, twenty-one million, ten thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 109 147 186 217 218 294 327 434 651 654 763 1302 1519 1526 2289 3038 3379 4557 4578 5341 6758 9114 10137 10682 16023 20274 23653 32046 47306 70959 141918 165571 221477 331142 442954 496713 664431 993426 1328862 1550339 3100678 4651017 6865787 9302034 10852373 13731574 20597361 21704746 24140993 32557119 41194722 48060509 48281986 65114238 72422979 96121018 144181527 144845958 168986951 288363054 336423563 337973902 506960853 672847126 748370783 1009270689 1013921706 1182908657 1496741566 2018541378 2245112349 2365817314 3548725971 4490224698 5238595481 7097451942 10477190962 15715786443 31431572886 36670168367 73340336734 110010505101 220021010202