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225322363621341 = 32721314135194321
BaseRepresentation
bin110011001110110111110011…
…011100011000111111011101
31002112210121101221020101120100
4303032313303130120333131
5214013140200041340331
62115115355335211313
765314001135561400
oct6316676334307735
91075717357211510
10225322363621341
1165881750138928
1221330b97816b39
139895a6672c8bc
143d8d936921d37
151b0b24230dae6
hexccedf3718fdd

225322363621341 has 72 divisors (see below), whose sum is σ = 381506251883328. Its totient is φ = 127768324320000.

The previous prime is 225322363621339. The next prime is 225322363621351. The reversal of 225322363621341 is 143126363223522.

225322363621341 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 2 + 2 + 3 + 636 + 2 + 1 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 225322363621341 - 21 = 225322363621339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225322363621351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2388841461 + ... + 2388935781.

It is an arithmetic number, because the mean of its divisors is an integer number (5298697942824).

Almost surely, 2225322363621341 is an apocalyptic number.

225322363621341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225322363621341 is a deficient number, since it is larger than the sum of its proper divisors (156183888261987).

225322363621341 is a wasteful number, since it uses less digits than its factorization.

225322363621341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135823 (or 135813 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 225322363621341 in words is "two hundred twenty-five trillion, three hundred twenty-two billion, three hundred sixty-three million, six hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 49 63 131 147 393 441 917 1179 2751 6419 8253 19257 41351 57771 94321 124053 282963 289457 372159 660247 848889 868371 1980741 2026199 2605113 4621729 5416981 5942223 6078597 12356051 13865187 16250943 18235791 37068153 37918867 41595561 48752829 86492357 111204459 113756601 259477071 265432069 341269803 605446499 778431213 796296207 1816339497 2388888621 3900267671 5449018491 11700803013 27301873697 35102409039 81905621091 191113115879 245716863273 510935064901 573339347637 1532805194703 1720018042911 3576545454307 4598415584109 10729636362921 25035818180149 32188909088763 75107454540447 225322363621341