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225435221123504 = 2478324250776799
BaseRepresentation
bin110011010000100000111010…
…010001100110000110110000
31002120012101201011112111222212
4303100200322101212012300
5214022012313101423004
62115243302203151252
765325104635532060
oct6320407221460660
91076171634474885
10225435221123504
11659155a4270677
122134aa33515528
1398a35b0c3aa92
143d951a14173a0
151b0e14a1ed96e
hexcd083a4661b0

225435221123504 has 40 divisors (see below), whose sum is σ = 505192182297600. Its totient is φ = 95451057476928.

The previous prime is 225435221123503. The next prime is 225435221123521. The reversal of 225435221123504 is 405321122534522.

It is not an unprimeable number, because it can be changed into a prime (225435221123503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12125379104 + ... + 12125397695.

It is an arithmetic number, because the mean of its divisors is an integer number (12629804557440).

Almost surely, 2225435221123504 is an apocalyptic number.

It is an amenable number.

225435221123504 is an abundant number, since it is smaller than the sum of its proper divisors (279756961174096).

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

225435221123504 is a wasteful number, since it uses less digits than its factorization.

225435221123504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24250776897 (or 24250776891 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 225435221123504 in words is "two hundred twenty-five trillion, four hundred thirty-five billion, two hundred twenty-one million, one hundred twenty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 2324 4648 9296 24250776799 48501553598 97003107196 169755437593 194006214392 339510875186 388012428784 679021750372 1358043500744 2012814474317 2716087001488 4025628948634 8051257897268 14089701320219 16102515794536 28179402640438 32205031589072 56358805280876 112717610561752 225435221123504