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1000226526 = 231343833593
BaseRepresentation
bin111011100111100…
…011111011011110
32120201002202211220
4323213203323132
54022024222101
6243130154210
733533533215
oct7347437336
92521082756
101000226526
11473668aa2
1223ab82966
1312c2b9320
1496baa07c
155cc28636
hex3b9e3ede

1000226526 has 64 divisors (see below), whose sum is σ = 2231615232. Its totient is φ = 296900352.

The previous prime is 1000226503. The next prime is 1000226531. The reversal of 1000226526 is 6256220001.

It is a junction number, because it is equal to n+sod(n) for n = 1000226496 and 1000226505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276586 + ... + 280178.

It is an arithmetic number, because the mean of its divisors is an integer number (34868988).

Almost surely, 21000226526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000226526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115807616).

1000226526 is an abundant number, since it is smaller than the sum of its proper divisors (1231388706).

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

1000226526 is a wasteful number, since it uses less digits than its factorization.

1000226526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1000226526 is about 31626.3580894165. The cubic root of 1000226526 is about 1000.0755029658.

Adding to 1000226526 its reverse (6256220001), we get a palindrome (7256446527).

The spelling of 1000226526 in words is "one billion, two hundred twenty-six thousand, five hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 43 78 83 86 129 166 249 258 498 559 1079 1118 1677 2158 3237 3354 3569 3593 6474 7138 7186 10707 10779 21414 21558 46397 46709 92794 93418 139191 140127 154499 278382 280254 298219 308998 463497 596438 894657 926994 1789314 2008487 3876847 4016974 6025461 7753694 11630541 12050922 12823417 23261082 25646834 38470251 76940502 166704421 333408842 500113263 1000226526