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253800080226 = 2327211103125373
BaseRepresentation
bin1110110001011110101…
…0011110001101100010
3220021002202121221012100
43230113222132031202
513124240310031401
6312332200311230
724223255041600
oct3542752361542
9807082557170
10253800080226
11986aa58a820
1241231172516
131ac19453984
14c3d93a4870
15690674db86
hex3b17a9e362

253800080226 has 144 divisors (see below), whose sum is σ = 698536882368. Its totient is φ = 65855563200.

The previous prime is 253800080201. The next prime is 253800080243. The reversal of 253800080226 is 622080008352.

It is a super-2 number, since 2×2538000802262 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9990076 + ... + 10015448.

It is an arithmetic number, because the mean of its divisors is an integer number (4850950572).

Almost surely, 2253800080226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253800080226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349268441184).

253800080226 is an abundant number, since it is smaller than the sum of its proper divisors (444736802142).

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

253800080226 is a wasteful number, since it uses less digits than its factorization.

253800080226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26437 (or 26427 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 253800080226 its reverse (622080008352), we get a palindrome (875880088578).

The spelling of 253800080226 in words is "two hundred fifty-three billion, eight hundred million, eighty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1031 1078 1386 1617 2062 3093 3234 4851 6186 7217 9279 9702 11341 14434 18558 21651 22682 25373 34023 43302 50519 50746 64953 68046 76119 79387 101038 102069 129906 151557 152238 158774 177611 204138 228357 238161 279103 303114 355222 454671 456714 476322 532833 555709 558206 714483 837309 909342 1065666 1111418 1243277 1428966 1598499 1667127 1674618 1953721 2486554 2511927 3196998 3334254 3729831 3907442 5001381 5023854 5861163 7459662 10002762 11189493 11722326 13676047 17583489 22378986 26159563 27352094 35166978 41028141 52319126 78478689 82056282 123084423 156957378 183116941 235436067 246168846 287755193 366233882 470872134 549350823 575510386 863265579 1098701646 1281818587 1648052469 1726531158 2014286351 2563637174 2589796737 3296104938 3845455761 4028572702 5179593474 6042859053 7690911522 11536367283 12085718106 14100004457 18128577159 23072734566 28200008914 36257154318 42300013371 84600026742 126900040113 253800080226