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200231210220 = 223510946166413
BaseRepresentation
bin1011101001111010110…
…1011100110011101100
3201010211110100101021220
42322132231130303230
511240033142211340
6231552425423340
720315626130166
oct2723655346354
9633743311256
10200231210220
1177a10330928
123298103ab50
1315b601b3262
149996aa9936
15531d8e5ed0
hex2e9eb5ccec

200231210220 has 96 divisors (see below), whose sum is σ = 567026792640. Its totient is φ = 52789570560.

The previous prime is 200231210197. The next prime is 200231210287. The reversal of 200231210220 is 22012132002.

It is a happy number.

It is a super-3 number, since 3×2002312102203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200231210220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2981734 + ... + 3048146.

It is an arithmetic number, because the mean of its divisors is an integer number (5906529090).

Almost surely, 2200231210220 is an apocalyptic number.

200231210220 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 200231210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283513396320).

200231210220 is an abundant number, since it is smaller than the sum of its proper divisors (366795582420).

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

200231210220 is a wasteful number, since it uses less digits than its factorization.

200231210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66995 (or 66993 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 200231210220 its reverse (22012132002), we get a palindrome (222243342222).

The spelling of 200231210220 in words is "two hundred billion, two hundred thirty-one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 461 545 654 922 1090 1308 1383 1635 1844 2180 2305 2766 3270 4610 5532 6540 6915 9220 13830 27660 50249 66413 100498 132826 150747 199239 200996 251245 265652 301494 332065 398478 502490 602988 664130 753735 796956 996195 1004980 1328260 1507470 1992390 3014940 3984780 7239017 14478034 21717051 28956068 30616393 36195085 43434102 61232786 72390170 86868204 91849179 108585255 122465572 144780340 153081965 183698358 217170510 306163930 367396716 434341020 459245895 612327860 918491790 1836983580 3337186837 6674373674 10011560511 13348747348 16685934185 20023121022 33371868370 40046242044 50057802555 66743736740 100115605110 200231210220