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10304444220 = 22357228112473
BaseRepresentation
bin10011001100011000…
…10101011100111100
3222121010122000002020
421212030111130330
5132100414203340
64422300000140
7513232221300
oct114614253474
928533560066
1010304444220
114408654504
121bb6b30050
13c82ab3095
146da771d00
154049989d0
hex26631573c

10304444220 has 144 divisors (see below), whose sum is σ = 33685188768. Its totient is φ = 2346731520.

The previous prime is 10304444203. The next prime is 10304444221. The reversal of 10304444220 is 2244440301.

It is a happy number.

10304444220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304444221) 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 47 ways as a sum of consecutive naturals, for example, 819904 + ... + 832376.

It is an arithmetic number, because the mean of its divisors is an integer number (233924922).

Almost surely, 210304444220 is an apocalyptic number.

10304444220 is a gapful number since it is divisible by the number (10) 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 10304444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842594384).

10304444220 is an abundant number, since it is smaller than the sum of its proper divisors (23380744548).

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

10304444220 is a wasteful number, since it uses less digits than its factorization.

10304444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12780 (or 12771 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10304444220 its reverse (2244440301), we get a palindrome (12548884521).

The spelling of 10304444220 in words is "ten billion, three hundred four million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 281 294 420 490 562 588 735 843 980 1124 1405 1470 1686 1967 2810 2940 3372 3934 4215 5620 5901 7868 8430 9835 11802 12473 13769 16860 19670 23604 24946 27538 29505 37419 39340 41307 49892 55076 59010 62365 68845 74838 82614 87311 118020 124730 137690 149676 165228 174622 187095 206535 249460 261933 275380 349244 374190 413070 436555 523866 611177 748380 826140 873110 1047732 1222354 1309665 1746220 1833531 2444708 2619330 3055885 3504913 3667062 5238660 6111770 7009826 7334124 9167655 10514739 12223540 14019652 17524565 18335310 21029478 24534391 35049130 36670620 42058956 49068782 52573695 70098260 73603173 98137564 105147390 122671955 147206346 171740737 210294780 245343910 294412692 343481474 368015865 490687820 515222211 686962948 736031730 858703685 1030444422 1472063460 1717407370 2060888844 2576111055 3434814740 5152222110 10304444220