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225200065266 = 2331119149133919
BaseRepresentation
bin1101000110111011111…
…0000100101011110010
3210112021120122122021000
43101232332010223302
512142202204042031
6251242214542430
722161444654021
oct3215676045362
9715246578230
10225200065266
1187563625220
123778b067a16
131830c1335b7
14ac84c668b8
155cd09b53e6
hex346ef84af2

225200065266 has 128 divisors (see below), whose sum is σ = 578534400000. Its totient is φ = 64216359360.

The previous prime is 225200065261. The next prime is 225200065267. The reversal of 225200065266 is 662560002522.

225200065266 is a `hidden beast` number, since 22 + 520 + 0 + 0 + 6 + 52 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225200065266.

It is not an unprimeable number, because it can be changed into a prime (225200065261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1614655 + ... + 1748573.

It is an arithmetic number, because the mean of its divisors is an integer number (4519800000).

Almost surely, 2225200065266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225200065266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289267200000).

225200065266 is an abundant number, since it is smaller than the sum of its proper divisors (353334334734).

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

225200065266 is a wasteful number, since it uses less digits than its factorization.

225200065266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134109 (or 134103 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 225200065266 its reverse (662560002522), we get a palindrome (887760067788).

The spelling of 225200065266 in words is "two hundred twenty-five billion, two hundred million, sixty-five thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 149 171 198 209 297 298 342 418 447 513 594 627 894 1026 1254 1341 1639 1881 2682 2831 3278 3762 4023 4917 5643 5662 8046 8493 9834 11286 14751 16986 25479 29502 31141 44253 50958 62282 76437 88506 93423 133919 152874 186846 267838 280269 401757 560538 803514 840807 1205271 1473109 1681614 2410542 2544461 2946218 3615813 4419327 5088922 7231626 7633383 8838654 13257981 15266766 19953931 22900149 26515962 27989071 39773943 39907862 45800298 55978142 59861793 68700447 79547886 83967213 119723586 137400894 167934426 179585379 219493241 251901639 359170758 379124689 438986482 503803278 538756137 658479723 755704917 758249378 1077512274 1137374067 1316959446 1511409834 1975439169 2274748134 3412122201 3950878338 4170371579 5926317507 6824244402 8340743158 10236366603 11852635014 12511114737 20472733206 25022229474 37533344211 75066688422 112600032633 225200065266