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248226288426 = 23317436288349
BaseRepresentation
bin1110011100101101110…
…0001001001100101010
3212201201022112222021000
43213023130021030222
513031331412212201
6310011130455430
723635164431664
oct3471334111452
9781638488230
10248226288426
11962aa2a5516
1240136594576
131a53b77460c
14c02b01d534
1566cc254d86
hex39cb70932a

248226288426 has 64 divisors (see below), whose sum is σ = 597644784000. Its totient is φ = 76063857408.

The previous prime is 248226288421. The next prime is 248226288473. The reversal of 248226288426 is 624882622842.

248226288426 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 2 + 628 + 8 + 4 + 2 + 6 = 666.

248226288426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (248226288421) 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 31 ways as a sum of consecutive naturals, for example, 3104701 + ... + 3183648.

It is an arithmetic number, because the mean of its divisors is an integer number (9338199750).

Almost surely, 2248226288426 is an apocalyptic number.

248226288426 is an abundant number, since it is smaller than the sum of its proper divisors (349418495574).

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

248226288426 is a wasteful number, since it uses less digits than its factorization.

248226288426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288420 (or 6288414 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 248226288426 in words is "two hundred forty-eight billion, two hundred twenty-six million, two hundred eighty-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 102 129 153 258 306 387 459 731 774 918 1161 1462 2193 2322 4386 6579 13158 19737 39474 6288349 12576698 18865047 37730094 56595141 106901933 113190282 169785423 213803866 270399007 320705799 339570846 540798014 641411598 811197021 962117397 1622394042 1924234794 2433591063 2886352191 4596783119 4867182126 5772704382 7300773189 9193566238 13790349357 14601546378 27580698714 41371048071 82742096142 124113144213 248226288426