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225735141307 = 13436137917467
BaseRepresentation
bin1101001000111011011…
…1001110011110111011
3210120122212111022121011
43102032313032132323
512144301144010212
6251411251254351
722210633020334
oct3221667163673
9716585438534
10225735141307
1187808669825
12378ba2aa3b7
1318395c49c40
14acd5d4d28b
155d1295b4a7
hex348edce7bb

225735141307 has 32 divisors (see below), whose sum is σ = 253512385280. Its totient is φ = 199648955520.

The previous prime is 225735141301. The next prime is 225735141353. The reversal of 225735141307 is 703141537522.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225735141307 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225735141307.

It is not an unprimeable number, because it can be changed into a prime (225735141301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12914788 + ... + 12932254.

It is an arithmetic number, because the mean of its divisors is an integer number (7922262040).

Almost surely, 2225735141307 is an apocalyptic number.

225735141307 is a deficient number, since it is larger than the sum of its proper divisors (27777243973).

225735141307 is a wasteful number, since it uses less digits than its factorization.

225735141307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17963.

The product of its (nonzero) digits is 176400, while the sum is 40.

Adding to 225735141307 its reverse (703141537522), we get a palindrome (928876678829).

The spelling of 225735141307 in words is "two hundred twenty-five billion, seven hundred thirty-five million, one hundred forty-one thousand, three hundred seven".

Divisors: 1 13 43 61 379 559 793 2623 4927 16297 17467 23119 34099 211861 227071 300547 751081 994117 1065487 6619993 9764053 12923521 13851331 45815941 86059909 284659699 403819573 595607233 3700576087 5249654449 17364241639 225735141307