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10224303330 = 23561291591
BaseRepresentation
bin10011000010110101…
…00111110011100010
3222101112211102110010
421201122213303202
5131414410201310
64410314145350
7511240100343
oct114132476342
928345742403
1010224303330
11437739746a
121b94122256
13c6c303837
146cdc700ca
153ec918320
hex2616a7ce2

10224303330 has 48 divisors (see below), whose sum is σ = 24947462592. Its totient is φ = 2681755200.

The previous prime is 10224303329. The next prime is 10224303337. The reversal of 10224303330 is 3330342201.

10224303330 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 = 10224303297 and 10224303306.

It is not an unprimeable number, because it can be changed into a prime (10224303337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65835 + ... + 157425.

It is an arithmetic number, because the mean of its divisors is an integer number (519738804).

Almost surely, 210224303330 is an apocalyptic number.

10224303330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224303330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473731296).

10224303330 is an abundant number, since it is smaller than the sum of its proper divisors (14723159262).

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

10224303330 is an equidigital number, since it uses as much as digits as its factorization.

10224303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91723 (or 91662 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 10224303330 its reverse (3330342201), we get a palindrome (13554645531).

The spelling of 10224303330 in words is "ten billion, two hundred twenty-four million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 3721 7442 11163 18605 22326 37210 55815 91591 111630 183182 274773 457955 549546 915910 1373865 2747730 5587051 11174102 16761153 27935255 33522306 55870510 83805765 167611530 340810111 681620222 1022430333 1704050555 2044860666 3408101110 5112151665 10224303330