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10226203764 = 22372294114627
BaseRepresentation
bin10011000011000011…
…10111110001110100
3222101200101222100120
421201201313301310
5131420402010024
64410423011540
7511262204100
oct114141676164
928350358316
1010226203764
114378475277
121b94899bb0
13c6c81a85a
146d0206900
153ecb91479
hex261877c74

10226203764 has 144 divisors (see below), whose sum is σ = 29416322880. Its totient is φ = 2752028160.

The previous prime is 10226203763. The next prime is 10226203781. The reversal of 10226203764 is 46730262201.

10226203764 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 (10226203763) 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, 691819 + ... + 706445.

It is an arithmetic number, because the mean of its divisors is an integer number (204280020).

Almost surely, 210226203764 is an apocalyptic number.

10226203764 is a gapful number since it is divisible by the number (14) 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 10226203764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708161440).

10226203764 is an abundant number, since it is smaller than the sum of its proper divisors (19190119116).

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

10226203764 is a wasteful number, since it uses less digits than its factorization.

10226203764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14718 (or 14709 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 10226203764 its reverse (46730262201), we get a palindrome (56956465965).

The spelling of 10226203764 in words is "ten billion, two hundred twenty-six million, two hundred three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 41 42 49 58 82 84 87 98 116 123 147 164 174 196 203 246 287 294 348 406 492 574 588 609 812 861 1148 1189 1218 1421 1722 2009 2378 2436 2842 3444 3567 4018 4263 4756 5684 6027 7134 8036 8323 8526 12054 14268 14627 16646 17052 24108 24969 29254 33292 43881 49938 58261 58508 87762 99876 102389 116522 174783 175524 204778 233044 307167 349566 409556 424183 599707 614334 699132 716723 848366 1199414 1228668 1272549 1433446 1696732 1799121 2150169 2398828 2545098 2866892 2969281 3598242 4197949 4300338 5090196 5938562 7196484 8395898 8600676 8907843 11877124 12593847 16791796 17391503 17815686 20784967 25187694 29385643 34783006 35631372 41569934 50375388 52174509 58771286 62354901 69566012 83139868 88156929 104349018 117542572 121740521 124709802 176313858 208698036 243481042 249419604 352627716 365221563 486962084 730443126 852183647 1460886252 1704367294 2556550941 3408734588 5113101882 10226203764