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223231132233100 = 225237941443142123
BaseRepresentation
bin110010110000011100001100…
…010101101110110110001100
31002021101200120102102211101001
4302300130030111232312030
5213224404324322424400
62110434544425030044
765006626362221515
oct6260341425566614
91067350512384331
10223231132233100
1165145878581822
1221053832625324
1397737b4211c84
143d1a6317d3a0c
151ac1b49d18a6a
hexcb070c56ed8c

223231132233100 has 72 divisors (see below), whose sum is σ = 485704824637760. Its totient is φ = 89054077250880.

The previous prime is 223231132233049. The next prime is 223231132233121. The reversal of 223231132233100 is 1332231132322.

It is a happy number.

It is a super-3 number, since 3×2232311322331003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 1570618639 + ... + 1570760761.

Almost surely, 2223231132233100 is an apocalyptic number.

223231132233100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223231132233100 is an abundant number, since it is smaller than the sum of its proper divisors (262473692404660).

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

223231132233100 is a wasteful number, since it uses less digits than its factorization.

223231132233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183959 (or 183952 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 223231132233100 its reverse (1332231132322), we get a palindrome (224563363365422).

The spelling of 223231132233100 in words is "two hundred twenty-three trillion, two hundred thirty-one billion, one hundred thirty-two million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 379 758 1516 1895 3790 7580 9475 18950 37900 41443 82886 142123 165772 207215 284246 414430 568492 710615 828860 1036075 1421230 2072150 2842460 3553075 4144300 7106150 14212300 15706897 31413794 53864617 62827588 78534485 107729234 157068970 215458468 269323085 314137940 392672425 538646170 785344850 1077292340 1346615425 1570689700 2693230850 5386461700 5890003489 11780006978 23560013956 29450017445 58900034890 117800069780 147250087225 294500174450 589000348900 2232311322331 4464622644662 8929245289324 11161556611655 22323113223310 44646226446620 55807783058275 111615566116550 223231132233100