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223223321132 = 227178327120849
BaseRepresentation
bin1100111111100100100…
…1011001001000101100
3210100011211001122002022
43033321021121020230
512124130132234012
6250314122245312
722061452631420
oct3177111311054
9710154048068
10223223321132
1186739822089
1237319056838
131808573c606
14ab38502b80
155c17198472
hex33f925922c

223223321132 has 96 divisors (see below), whose sum is σ = 480191846400. Its totient is φ = 88622346240.

The previous prime is 223223321107. The next prime is 223223321201. The reversal of 223223321132 is 231123322322.

223223321132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232233211323 (a number of 35 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10696244 + ... + 10717092.

It is an arithmetic number, because the mean of its divisors is an integer number (5001998400).

Almost surely, 2223223321132 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 223223321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240095923200).

223223321132 is an abundant number, since it is smaller than the sum of its proper divisors (256968525268).

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

223223321132 is a wasteful number, since it uses less digits than its factorization.

223223321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21231 (or 21229 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

Adding to 223223321132 its reverse (231123322322), we get a palindrome (454346643454).

The spelling of 223223321132 in words is "two hundred twenty-three billion, two hundred twenty-three million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 83 119 166 238 271 332 476 542 581 1084 1162 1411 1897 2324 2822 3794 4607 5644 7588 9214 9877 18428 19754 20849 22493 32249 39508 41698 44986 64498 83396 89972 128996 145943 157451 291886 314902 354433 382381 583772 629804 708866 764762 1417732 1529524 1730467 2481031 2676667 3460934 4962062 5353334 5650079 6921868 9924124 10706668 11300158 12113269 22600316 24226538 29417939 39550553 48453076 58835878 79101106 96051343 117671756 158202212 192102686 205925573 384205372 411851146 468956557 672359401 823702292 937913114 1344718802 1875826228 2689437604 3282695899 6565391798 7972261469 13130783596 15944522938 31889045876 55805830283 111611660566 223223321132