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13226401224 = 2334314714009
BaseRepresentation
bin11000101000101101…
…01101110111001000
31021010202210210120000
430110112231313020
5204041424314344
610024235403000
7645522361341
oct142426556710
937122723500
1013226401224
115677a60003
1226915b3460
13132a270c1a
148d68610c8
15526273a69
hex3145addc8

13226401224 has 160 divisors (see below), whose sum is σ = 39057638400. Its totient is φ = 4175504640.

The previous prime is 13226401219. The next prime is 13226401231. The reversal of 13226401224 is 42210462231.

13226401224 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 640 + 12 + 2 + 4 = 666.

13226401224 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 937132 + ... + 951140.

It is an arithmetic number, because the mean of its divisors is an integer number (244110240).

Almost surely, 213226401224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13226401224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19528819200).

13226401224 is an abundant number, since it is smaller than the sum of its proper divisors (25831237176).

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

13226401224 is a wasteful number, since it uses less digits than its factorization.

13226401224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14105 (or 14092 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13226401224 its reverse (42210462231), we get a palindrome (55436863455).

The spelling of 13226401224 in words is "thirteen billion, two hundred twenty-six million, four hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 47 54 62 72 81 93 94 108 124 141 162 186 188 216 248 279 282 324 372 376 423 558 564 648 744 837 846 1116 1128 1269 1457 1674 1692 2232 2511 2538 2914 3348 3384 3807 4371 5022 5076 5828 6696 7614 8742 10044 10152 11656 13113 14009 15228 17484 20088 26226 28018 30456 34968 39339 42027 52452 56036 78678 84054 104904 112072 118017 126081 157356 168108 236034 252162 314712 336216 378243 434279 472068 504324 658423 756486 868558 944136 1008648 1134729 1302837 1316846 1512972 1737116 1975269 2269458 2605674 2633692 3025944 3474232 3908511 3950538 4538916 5211348 5267384 5925807 7817022 7901076 9077832 10422696 11725533 11851614 15634044 15802152 17777421 20411113 23451066 23703228 31268088 35176599 35554842 40822226 46902132 47406456 53332263 61233339 70353198 71109684 81644452 93804264 106664526 122466678 140706396 142219368 163288904 183700017 213329052 244933356 281412792 367400034 426658104 489866712 551100051 734800068 1102200102 1469600136 1653300153 2204400204 3306600306 4408800408 6613200612 13226401224