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229303951812 = 223313214176283
BaseRepresentation
bin1101010110001110010…
…1001010000111000100
3210220212120211200021000
43111203211022013010
512224103302424222
6253201335253300
722365236300565
oct3254345120704
9726776750230
10229303951812
118927a1149a1
123853551a230
1318814429830
14b153d0016c
155e70e0b9ac
hex356394a1c4

229303951812 has 96 divisors (see below), whose sum is σ = 640529285760. Its totient is φ = 70521183360.

The previous prime is 229303951787. The next prime is 229303951829. The reversal of 229303951812 is 218159303922.

229303951812 is a `hidden beast` number, since 2 + 2 + 93 + 0 + 39 + 518 + 12 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2967823 + ... + 3044105.

It is an arithmetic number, because the mean of its divisors is an integer number (6672180060).

Almost surely, 2229303951812 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 229303951812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320264642880).

229303951812 is an abundant number, since it is smaller than the sum of its proper divisors (411225333948).

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

229303951812 is a wasteful number, since it uses less digits than its factorization.

229303951812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78450 (or 78442 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 229303951812 in words is "two hundred twenty-nine billion, three hundred three million, nine hundred fifty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2141 4282 6423 8564 12846 19269 25692 27833 38538 55666 57807 76283 77076 83499 111332 115614 152566 166998 228849 231228 250497 305132 333996 457698 500994 686547 751491 915396 991679 1001988 1373094 1502982 1983358 2059641 2746188 2975037 3005964 3966716 4119282 5950074 8238564 8925111 11900148 17850222 26775333 35700444 53550666 107101332 163321903 326643806 489965709 653287612 979931418 1469897127 1959862836 2123184739 2939794254 4246369478 4409691381 5879588508 6369554217 8492738956 8819382762 12739108434 17638765524 19108662651 25478216868 38217325302 57325987953 76434650604 114651975906 229303951812