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221130440415352 = 23136476949472921
BaseRepresentation
bin110010010001110111110001…
…010110011001100001111000
31001222221212022121011122121201
4302101313301112121201320
5212441000120221242402
62102145531044543544
764402101312332536
oct6221676126314170
91058855277148551
10221130440415352
1164505990834a36
12209746890b1bb4
139650684a35170
143c86ab0079156
151a8719bee8687
hexc91df1599878

221130440415352 has 64 divisors (see below), whose sum is σ = 447268819032000. Its totient is φ = 101887579745280.

The previous prime is 221130440415343. The next prime is 221130440415403. The reversal of 221130440415352 is 253514044031122.

221130440415352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467347852 + ... + 467820772.

It is an arithmetic number, because the mean of its divisors is an integer number (6988575297375).

Almost surely, 2221130440415352 is an apocalyptic number.

It is an amenable number.

221130440415352 is an abundant number, since it is smaller than the sum of its proper divisors (226138378616648).

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

221130440415352 is a wasteful number, since it uses less digits than its factorization.

221130440415352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480536 (or 480532 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 221130440415352 its reverse (253514044031122), we get a palindrome (474644484446474).

The spelling of 221130440415352 in words is "two hundred twenty-one trillion, one hundred thirty billion, four hundred forty million, four hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 647 1294 2588 5176 6949 8411 13898 16822 27796 33644 55592 67288 90337 180674 361348 472921 722696 945842 1891684 3783368 4496003 6147973 8992006 12295946 17984012 24591892 35968024 49183784 58448039 116896078 233792156 305979887 467584312 611959774 1223919548 2447839096 3286328029 3977738531 6572656058 7955477062 13145312116 15910954124 26290624232 31821908248 42722264377 85444528754 170889057508 341778115016 2126254234763 4252508469526 8505016939052 17010033878104 27641305051919 55282610103838 110565220207676 221130440415352