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227748066 = 23713449929
BaseRepresentation
bin11011001001100…
…10100011100010
3120212112210121120
431210302203202
5431300414231
634333233110
75433553350
oct1544624342
9525483546
10227748066
11107615547
1264332796
1338251290
14223667d0
1514edad96
hexd9328e2

227748066 has 64 divisors (see below), whose sum is σ = 562464000. Its totient is φ = 59867136.

The previous prime is 227748023. The next prime is 227748067. The reversal of 227748066 is 660847722.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (227748067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244690 + ... + 245618.

It is an arithmetic number, because the mean of its divisors is an integer number (8788500).

Almost surely, 2227748066 is an apocalyptic number.

227748066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 227748066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232000).

227748066 is an abundant number, since it is smaller than the sum of its proper divisors (334715934).

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

227748066 is a wasteful number, since it uses less digits than its factorization.

227748066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403.

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 227748066 is about 15091.3241963719. The cubic root of 227748066 is about 610.6863777991.

The spelling of 227748066 in words is "two hundred twenty-seven million, seven hundred forty-eight thousand, sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 449 546 898 929 1347 1858 2694 2787 3143 5574 5837 6286 6503 9429 11674 12077 13006 17511 18858 19509 24154 35022 36231 39018 40859 72462 81718 84539 122577 169078 245154 253617 417121 507234 834242 1251363 2502726 2919847 5422573 5839694 8759541 10845146 16267719 17519082 32535438 37958011 75916022 113874033 227748066