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10352212224 = 28319170573
BaseRepresentation
bin10011010010000101…
…00011100100000000
3222201110111212110120
421221002203210000
5132200131242344
64431123500240
7514352231514
oct115102434400
928643455416
1010352212224
1144326102a2
12200ab27680
13c8c969583
14702c48144
15408c82219
hex2690a3900

10352212224 has 72 divisors (see below), whose sum is σ = 27696625152. Its totient is φ = 3432622080.

The previous prime is 10352212223. The next prime is 10352212231. The reversal of 10352212224 is 42221225301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10352212194 and 10352212203.

It is not an unprimeable number, because it can be changed into a prime (10352212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111402 + ... + 181974.

Almost surely, 210352212224 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 10352212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848312576).

10352212224 is an abundant number, since it is smaller than the sum of its proper divisors (17344412928).

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

10352212224 is an equidigital number, since it uses as much as digits as its factorization.

10352212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70783 (or 70769 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10352212224 its reverse (42221225301), we get a palindrome (52573437525).

The spelling of 10352212224 in words is "ten billion, three hundred fifty-two million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 573 764 768 1146 1528 2292 3056 4584 6112 9168 12224 18336 24448 36672 48896 70573 73344 141146 146688 211719 282292 423438 564584 846876 1129168 1693752 2258336 3387504 4516672 6775008 9033344 13479443 13550016 18066688 26958886 27100032 40438329 53917772 54200064 80876658 107835544 161753316 215671088 323506632 431342176 647013264 862684352 1294026528 1725368704 2588053056 3450737408 5176106112 10352212224