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225685465009536 = 273783960366447
BaseRepresentation
bin110011010100001001111101…
…111110010000110110000000
31002121002022122002120001212010
4303110021331332100312000
5214040112313020301121
62115554245450132520
765352144132500610
oct6324117576206600
91077068562501763
10225685465009536
1165a01739432024
122138b431721140
1398c10816ab51c
143da3340392a40
151b158e4640376
hexcd427df90d80

225685465009536 has 64 divisors (see below), whose sum is σ = 685116590215680. Its totient is φ = 64481561430528.

The previous prime is 225685465009513. The next prime is 225685465009541. The reversal of 225685465009536 is 635900564586522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41980180536 + ... + 41980185911.

It is an arithmetic number, because the mean of its divisors is an integer number (10704946722120).

Almost surely, 2225685465009536 is an apocalyptic number.

It is an amenable number.

225685465009536 is an abundant number, since it is smaller than the sum of its proper divisors (459431125206144).

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

225685465009536 is an equidigital number, since it uses as much as digits as its factorization.

225685465009536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83960366471 (or 83960366459 counting only the distinct ones).

The product of its (nonzero) digits is 466560000, while the sum is 66.

The spelling of 225685465009536 in words is "two hundred twenty-five trillion, six hundred eighty-five billion, four hundred sixty-five million, nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 83960366447 167920732894 251881099341 335841465788 503762198682 587722565129 671682931576 1007524397364 1175445130258 1343365863152 1763167695387 2015048794728 2350890260516 2686731726304 3526335390774 4030097589456 4701780521032 5373463452608 7052670781548 8060195178912 9403561042064 10746926905216 14105341563096 16120390357824 18807122084128 28210683126192 32240780715648 37614244168256 56421366252384 75228488336512 112842732504768 225685465009536