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225512035353 = 321140146312269
BaseRepresentation
bin1101001000000110010…
…0001001010000011001
3210120002022200100202200
43102001210021100121
512143322040112403
6251333201320413
722202253446553
oct3220144112031
9716068610680
10225512035353
1187703734a40
1237857636109
131835b962897
14acb44744d3
155ced08aca3
hex3481909419

225512035353 has 48 divisors (see below), whose sum is σ = 357036975360. Its totient is φ = 136027584000.

The previous prime is 225512035351. The next prime is 225512035361. The reversal of 225512035353 is 353530215522.

225512035353 is a `hidden beast` number, since 2 + 2 + 551 + 2 + 0 + 3 + 53 + 53 = 666.

It is not a de Polignac number, because 225512035353 - 21 = 225512035351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225512035351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18374503 + ... + 18386771.

It is an arithmetic number, because the mean of its divisors is an integer number (7438270320).

Almost surely, 2225512035353 is an apocalyptic number.

It is an amenable number.

225512035353 is a deficient number, since it is larger than the sum of its proper divisors (131524940007).

225512035353 is a wasteful number, since it uses less digits than its factorization.

225512035353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13150 (or 13147 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 225512035353 in words is "two hundred twenty-five billion, five hundred twelve million, thirty-five thousand, three hundred fifty-three".

Divisors: 1 3 9 11 33 99 401 463 1203 1389 3609 4167 4411 5093 12269 13233 15279 36807 39699 45837 110421 134959 185663 404877 556989 1214631 1670967 2042293 4919869 5680547 6126879 14759607 17041641 18380637 44278821 51124923 54118559 62486017 162355677 187458051 487067031 562374153 2277899347 6833698041 20501094123 25056892817 75170678451 225512035353