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226325521503 = 32439758710271
BaseRepresentation
bin1101001011001000001…
…1010110010001011111
3210122012000101201222100
43102302003112101133
512202003313142003
6251550021220143
722231362122364
oct3226203262137
9718160351870
10226325521503
1187a90947144
1237a43b61653
131845b358033
14ad5051046b
155d496c8ba3
hex34b20d645f

226325521503 has 48 divisors (see below), whose sum is σ = 338574652416. Its totient is φ = 145592778240.

The previous prime is 226325521493. The next prime is 226325521517. The reversal of 226325521503 is 305125523622.

226325521503 is a `hidden beast` number, since 2 + 2 + 63 + 25 + 521 + 50 + 3 = 666.

226325521503 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-226325521503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226325520503) 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 47 ways as a sum of consecutive naturals, for example, 22030258 + ... + 22040528.

It is an arithmetic number, because the mean of its divisors is an integer number (7053638592).

Almost surely, 2226325521503 is an apocalyptic number.

226325521503 is a deficient number, since it is larger than the sum of its proper divisors (112249130913).

226325521503 is a wasteful number, since it uses less digits than its factorization.

226325521503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004 (or 11001 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 226325521503 in words is "two hundred twenty-six billion, three hundred twenty-five million, five hundred twenty-one thousand, five hundred three".

Divisors: 1 3 9 43 97 129 291 387 587 873 1761 4171 5283 10271 12513 25241 30813 37539 56939 75723 92439 170817 227169 441653 512451 996287 1324959 2448377 2988861 3974877 6029077 7345131 8966583 18087231 22035393 42840341 54261693 128521023 259250311 385563069 584820469 777750933 1754461407 2333252799 5263384221 25147280167 75441840501 226325521503