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225141105033420 = 223543151157577307
BaseRepresentation
bin110011001100001110111111…
…100101110000000011001100
31002112011021112201020002021020
4303030032333211300003030
5214002202440342032140
62114500221254434140
765264623315156632
oct6314167745600314
91075137481202236
10225141105033420
1165811896413a44
1221301a30662950
13988193b11c894
143d84c5d905352
151b066843956d0
hexccc3bf9700cc

225141105033420 has 96 divisors (see below), whose sum is σ = 645060829932288. Its totient is φ = 58640914574592.

The previous prime is 225141105033419. The next prime is 225141105033437. The reversal of 225141105033420 is 24330501141522.

225141105033420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 389696407 + ... + 390273713.

It is an arithmetic number, because the mean of its divisors is an integer number (6719383645128).

Almost surely, 2225141105033420 is an apocalyptic number.

225141105033420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225141105033420 is an abundant number, since it is smaller than the sum of its proper divisors (419919724898868).

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

225141105033420 is a wasteful number, since it uses less digits than its factorization.

225141105033420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728519 (or 728517 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 225141105033420 its reverse (24330501141522), we get a palindrome (249471606174942).

The spelling of 225141105033420 in words is "two hundred twenty-five trillion, one hundred forty-one billion, one hundred five million, thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 151157 302314 453471 577307 604628 755785 906942 1154614 1511570 1731921 1813884 2267355 2309228 2886535 3023140 3463842 4534710 5773070 6499751 6927684 8659605 9069420 11546140 12999502 17319210 19499253 24824201 25999004 32498755 34638420 38998506 49648402 64997510 74472603 77997012 97496265 99296804 124121005 129995020 148945206 194992530 248242010 297890412 372363015 389985060 496484020 744726030 1489452060 87263994199 174527988398 261791982597 349055976796 436319970995 523583965194 872639941990 1047167930388 1308959912985 1745279883980 2617919825970 3752351750557 5235839651940 7504703501114 11257055251671 15009407002228 18761758752785 22514110503342 37523517505570 45028221006684 56285276258355 75047035011140 112570552516710 225141105033420