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232201241512220 = 225371632161890821
BaseRepresentation
bin110100110010111110010000…
…100001000100100100011100
31010110011012222202120201010002
4310302332100201010210130
5220413341120311342340
62141503435553433432
766623662141111211
oct6462762041044434
91113135882521102
10232201241512220
1167a93aa23a5942
12220621a5b6b878
139c7463854ba76
14414a858799b08
151bca1492a5715
hexd32f9084491c

232201241512220 has 96 divisors (see below), whose sum is σ = 504107731934016. Its totient is φ = 89774131507200.

The previous prime is 232201241512193. The next prime is 232201241512241. The reversal of 232201241512220 is 22215142102232.

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, 260214410 + ... + 261105230.

It is an arithmetic number, because the mean of its divisors is an integer number (5251122207646).

Almost surely, 2232201241512220 is an apocalyptic number.

232201241512220 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 232201241512220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252053865967008).

232201241512220 is an abundant number, since it is smaller than the sum of its proper divisors (271906490421796).

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

232201241512220 is a wasteful number, since it uses less digits than its factorization.

232201241512220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893191 (or 893189 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 232201241512220 its reverse (22215142102232), we get a palindrome (254416383614452).

The spelling of 232201241512220 in words is "two hundred thirty-two trillion, two hundred one billion, two hundred forty-one million, five hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 163 185 326 370 652 740 815 1630 2161 3260 4322 6031 8644 10805 12062 21610 24124 30155 43220 60310 79957 120620 159914 319828 352243 399785 704486 799570 890821 1408972 1599140 1761215 1781642 3522430 3563284 4454105 7044860 8908210 13032991 17816420 26065982 32960377 52131964 65164955 65920754 130329910 131841508 145203823 164801885 260659820 290407646 329603770 580815292 659207540 726019115 1452038230 1925064181 2904076460 3850128362 5372541451 7700256724 9625320905 10745082902 19250641810 21490165804 26862707255 38501283620 53725414510 71227374697 107450829020 142454749394 284909498788 313785461503 356136873485 627570923006 712273746970 1255141846012 1424547493940 1568927307515 3137854615030 6275709230060 11610062075611 23220124151222 46440248302444 58050310378055 116100620756110 232201241512220