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2227805268 = 2231323361291
BaseRepresentation
bin1000010011001001…
…1001110001010100
312202021000020022020
42010302121301110
514030304232033
61005021333140
7106131014043
oct20462316124
95667006266
102227805268
11a435a1087
125221071b0
13296718690
14171c3855a
15d08b06b3
hex84c99c54

2227805268 has 48 divisors (see below), whose sum is σ = 5622192576. Its totient is φ = 682525440.

The previous prime is 2227805221. The next prime is 2227805291. The reversal of 2227805268 is 8625087222.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5703 + ... + 66993.

It is an arithmetic number, because the mean of its divisors is an integer number (117129012).

Almost surely, 22227805268 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 2227805268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811096288).

2227805268 is an abundant number, since it is smaller than the sum of its proper divisors (3394387308).

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

2227805268 is a wasteful number, since it uses less digits than its factorization.

2227805268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61544 (or 61542 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2227805268 is about 47199.6320748372. The cubic root of 2227805268 is about 1306.0478107177.

The spelling of 2227805268 in words is "two billion, two hundred twenty-seven million, eight hundred five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 233 466 699 932 1398 2796 3029 6058 9087 12116 18174 36348 61291 122582 183873 245164 367746 735492 796783 1593566 2390349 3187132 4780698 9561396 14280803 28561606 42842409 57123212 85684818 171369636 185650439 371300878 556951317 742601756 1113902634 2227805268