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223230322120 = 23513243799721
BaseRepresentation
bin1100111111100110010…
…0000110010111001000
3210100012022020022122011
43033321210012113020
512124133430301440
6250314532305304
722061566300441
oct3177144062710
9710168208564
10223230322120
1186742774023
123731b472234
1318087021100
14ab394062c8
155c17acc9ea
hex33f99065c8

223230322120 has 192 divisors, whose sum is σ = 563627116800. Its totient is φ = 79479429120.

The previous prime is 223230322093. The next prime is 223230322171. The reversal of 223230322120 is 21223032322.

223230322120 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 3×2232303221203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223230322091 and 223230322100.

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 47 ways as a sum of consecutive naturals, for example, 22958860 + ... + 22968580.

It is an arithmetic number, because the mean of its divisors is an integer number (2935557900).

Almost surely, 2223230322120 is an apocalyptic number.

223230322120 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 223230322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281813558400).

223230322120 is an abundant number, since it is smaller than the sum of its proper divisors (340396794680).

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

223230322120 is a wasteful number, since it uses less digits than its factorization.

223230322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9880 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 223230322120 its reverse (21223032322), we get a palindrome (244453354442).

The spelling of 223230322120 in words is "two hundred twenty-three billion, two hundred thirty million, three hundred twenty-two thousand, one hundred twenty".