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223132301131220 = 225131676700376697
BaseRepresentation
bin110010101111000000001001…
…100010111111110111010100
31002021001020110201021122220022
4302233000021202333313110
5213221244423042144340
62110321321455324312
764666530300553325
oct6257001142776724
91067036421248808
10223132301131220
1165107971a3a128
1221038650220698
139767393927330
143d15937ac844c
151abe2b35243b5
hexcaf0098bfdd4

223132301131220 has 96 divisors (see below), whose sum is σ = 507658166684928. Its totient is φ = 81891684006912.

The previous prime is 223132301131199. The next prime is 223132301131231. The reversal of 223132301131220 is 22131103231322.

It is a super-3 number, since 3×2231323011312203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 223132301131220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2909231912 + ... + 2909308608.

It is an arithmetic number, because the mean of its divisors is an integer number (5288105902968).

Almost surely, 2223132301131220 is an apocalyptic number.

223132301131220 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 223132301131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253829083342464).

223132301131220 is an abundant number, since it is smaller than the sum of its proper divisors (284525865553708).

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

223132301131220 is a wasteful number, since it uses less digits than its factorization.

223132301131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143889 (or 143887 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 223132301131220 its reverse (22131103231322), we get a palindrome (245263404362542).

The spelling of 223132301131220 in words is "two hundred twenty-three trillion, one hundred thirty-two billion, three hundred one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 260 334 668 835 1670 2171 3340 4342 8684 10855 21710 43420 67003 76697 134006 153394 268012 306788 335015 383485 670030 766970 871039 997061 1340060 1533940 1742078 1994122 3484156 3988244 4355195 4985305 8710390 9970610 11189501 12808399 17420780 19941220 22379002 25616798 44758004 51233596 55947505 64041995 111895010 128083990 145463513 166509187 223790020 256167980 290927026 333018374 581854052 666036748 727317565 832545935 1454635130 1665091870 2909270260 3330183740 5138929091 10277858182 20555716364 25694645455 51389290910 66806078183 102778581820 133612156366 267224312732 334030390915 668060781830 858201158197 1336121563660 1716402316394 3432804632788 4291005790985 8582011581970 11156615056561 17164023163940 22313230113122 44626460226244 55783075282805 111566150565610 223132301131220