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266000220 = 223352811753
BaseRepresentation
bin11111101101011…
…01011101011100
3200112112012201000
433312231131130
51021044001340
642221150300
76406651563
oct1766553534
9615465630
10266000220
111271719a2
12750bb390
13431553a5
1427482bda
1518544d30
hexfdad75c

266000220 has 96 divisors (see below), whose sum is σ = 830975040. Its totient is φ = 70640640.

The previous prime is 266000201. The next prime is 266000237. The reversal of 266000220 is 22000662.

266000220 is a `hidden beast` number, since 2 + 660 + 0 + 0 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×2660002202 = 141512234080096800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 266000193 and 266000202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150864 + ... + 152616.

It is an arithmetic number, because the mean of its divisors is an integer number (8655990).

Almost surely, 2266000220 is an apocalyptic number.

266000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415487520).

266000220 is an abundant number, since it is smaller than the sum of its proper divisors (564974820).

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

266000220 is a wasteful number, since it uses less digits than its factorization.

266000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 266000220 is about 16309.5131748314. The cubic root of 266000220 is about 643.1229364399.

Adding to 266000220 its reverse (22000662), we get a palindrome (288000882).

The spelling of 266000220 in words is "two hundred sixty-six million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 281 540 562 843 1124 1405 1686 1753 2529 2810 3372 3506 4215 5058 5259 5620 7012 7587 8430 8765 10116 10518 12645 15174 15777 16860 17530 21036 25290 26295 30348 31554 35060 37935 47331 50580 52590 63108 75870 78885 94662 105180 151740 157770 189324 236655 315540 473310 492593 946620 985186 1477779 1970372 2462965 2955558 4433337 4925930 5911116 7388895 8866674 9851860 13300011 14777790 17733348 22166685 26600022 29555580 44333370 53200044 66500055 88666740 133000110 266000220