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223313322200332 = 227137314815674601
BaseRepresentation
bin110010110001101000101111…
…001111100100110100001100
31002021200112201101100202122111
4302301220233033210310030
5213232231140440402312
62110540420213153404
765015566205345320
oct6261505717446414
91067615641322574
10223313322200332
1165177714685681
122106774b92b864
13977b481c74990
143d205cb357980
151ac3d5a6c18a7
hexcb1a2f3e4d0c

223313322200332 has 96 divisors (see below), whose sum is σ = 487900645674624. Its totient is φ = 87074694144000.

The previous prime is 223313322200329. The next prime is 223313322200341. The reversal of 223313322200332 is 233002223313322.

It is a happy number.

223313322200332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 223313322200294 and 223313322200303.

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, 36515832 + ... + 42190432.

It is an arithmetic number, because the mean of its divisors is an integer number (5082298392444).

Almost surely, 2223313322200332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223313322200332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243950322837312).

223313322200332 is an abundant number, since it is smaller than the sum of its proper divisors (264587323474292).

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

223313322200332 is a wasteful number, since it uses less digits than its factorization.

223313322200332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676179 (or 5676177 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 223313322200332 its reverse (233002223313322), we get a palindrome (456315545513654).

The spelling of 223313322200332 in words is "two hundred twenty-three trillion, three hundred thirteen billion, three hundred twenty-two million, two hundred thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 292 364 511 949 1022 1481 1898 2044 2962 3796 5924 6643 10367 13286 19253 20734 26572 38506 41468 77012 108113 134771 216226 269542 432452 539084 756791 1405469 1513582 2810938 3027164 5621876 5674601 9838283 11349202 19676566 22698404 39353132 39722207 73769813 79444414 147539626 158888828 295079252 414245873 516388691 828491746 1032777382 1656983492 2065554764 2899721111 5385196349 5799442222 8404084081 10770392698 11598884444 16808168162 21540785396 33616336324 37696374443 58828588567 75392748886 109253093053 117657177134 150785497772 218506186106 235314354268 437012372212 613498137913 764771651371 1226996275826 1529543302742 2453992551652 3059086605484 4294486965391 7975475792869 8588973930782 15950951585738 17177947861564 31901903171476 55828330550083 111656661100166 223313322200332