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233314234412 = 2272192912717011
BaseRepresentation
bin1101100101001010011…
…1001011000000101100
3211022020001220010210012
43121102213023000230
512310311421000122
6255103313432352
722566513161600
oct3312247130054
9738201803705
10233314234412
118aa47891636
123927456b6b8
131900320b60c
14b41476d500
1561080137e2
hex36529cb02c

233314234412 has 144 divisors (see below), whose sum is σ = 521302118400. Its totient is φ = 90737055360.

The previous prime is 233314234411. The next prime is 233314234423. The reversal of 233314234412 is 214432413332.

It is not an unprimeable number, because it can be changed into a prime (233314234411) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13706987 + ... + 13723997.

It is an arithmetic number, because the mean of its divisors is an integer number (3620153600).

Almost surely, 2233314234412 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 233314234412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260651059200).

233314234412 is an abundant number, since it is smaller than the sum of its proper divisors (287987883988).

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

233314234412 is a wasteful number, since it uses less digits than its factorization.

233314234412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17204 (or 17195 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 233314234412 its reverse (214432413332), we get a palindrome (447746647744).

The spelling of 233314234412 in words is "two hundred thirty-three billion, three hundred fourteen million, two hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 14 19 28 29 38 49 58 76 98 116 127 133 196 203 254 266 406 508 532 551 812 889 931 1102 1421 1778 1862 2204 2413 2842 3556 3683 3724 3857 4826 5684 6223 7366 7714 9652 12446 14732 15428 16891 17011 24892 25781 26999 33782 34022 51562 53998 67564 68044 69977 103124 107996 118237 119077 139954 180467 236474 238154 279908 323209 360934 472948 476308 489839 493319 646418 721868 833539 979678 986638 1292836 1667078 1959356 1973276 2160397 2262463 3334156 3428873 3453233 4320794 4524926 6857746 6906466 8641588 9049852 9373061 13715492 13812932 15122779 15837241 18746122 24172631 30245558 31674482 37492244 41047543 48345262 60491116 62651513 63348964 65611427 82095086 96690524 105859453 125303026 131222854 164190172 211718906 250606052 262445708 287332801 423437812 438560591 459279989 574665602 877121182 918559978 1149331204 1190378747 1754242364 1837119956 2011329607 2380757494 3069924137 4022659214 4761514988 6139848274 8045318428 8332651229 12279696548 16665302458 33330604916 58328558603 116657117206 233314234412