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227668323296 = 252319710311523
BaseRepresentation
bin1101010000001000010…
…1101110101111100000
3210202122121010010202002
43110002011232233200
512212231042321141
6252331150143132
722306555550411
oct3240205565740
9722577103662
10227668323296
118860a918a97
12381597b1aa8
13186135cabcb
14b03a9b3808
155dc7520e9b
hex350216ebe0

227668323296 has 96 divisors (see below), whose sum is σ = 470848992768. Its totient is φ = 108155998720.

The previous prime is 227668323209. The next prime is 227668323307. The reversal of 227668323296 is 692323866722.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 149485991 + ... + 149487513.

It is an arithmetic number, because the mean of its divisors is an integer number (4904677008).

Almost surely, 2227668323296 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 227668323296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235424496384).

227668323296 is an abundant number, since it is smaller than the sum of its proper divisors (243180669472).

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

227668323296 is a wasteful number, since it uses less digits than its factorization.

227668323296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2776 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 56.

The spelling of 227668323296 in words is "two hundred twenty-seven billion, six hundred sixty-eight million, three hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 197 368 394 736 788 1031 1523 1576 2062 3046 3152 4124 4531 6092 6304 8248 9062 12184 16496 18124 23713 24368 32992 35029 36248 47426 48736 70058 72496 94852 140116 144992 189704 203107 280232 300031 379408 406214 560464 600062 758816 812428 1120928 1200124 1570213 1624856 2400248 3140426 3249712 4671461 4800496 6280852 6499424 6900713 9342922 9600992 12561704 13801426 18685844 25123408 27602852 36114899 37371688 50246816 55205704 72229798 74743376 110411408 144459596 149486752 220822816 288919192 309331961 577838384 618663922 1155676768 1237327844 2474655688 4949311376 7114635103 9898622752 14229270206 28458540412 56917080824 113834161648 227668323296