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2266220840 = 235137016217
BaseRepresentation
bin1000011100010011…
…1100100100101000
312211221021221120012
42013010330210220
514120123031330
61012512551052
7110105362562
oct20704744450
95757257505
102266220840
11a6324a294
12532b52488
132a1678ca0
14176d98332
15d3e4cc95
hex8713c928

2266220840 has 64 divisors (see below), whose sum is σ = 5499945360. Its totient is φ = 835430400.

The previous prime is 2266220837. The next prime is 2266220849. The reversal of 2266220840 is 480226622.

It can be written as a sum of positive squares in 8 ways, for example, as 1267787236 + 998433604 = 35606^2 + 31598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2266220797 and 2266220806.

It is not an unprimeable number, because it can be changed into a prime (2266220849) 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 15 ways as a sum of consecutive naturals, for example, 361412 + ... + 367628.

Almost surely, 22266220840 is an apocalyptic number.

2266220840 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 2266220840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749972680).

2266220840 is an abundant number, since it is smaller than the sum of its proper divisors (3233724520).

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

2266220840 is a wasteful number, since it uses less digits than its factorization.

2266220840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2266220840 is about 47604.8405101834. The cubic root of 2266220840 is about 1313.5120954216.

The spelling of 2266220840 in words is "two billion, two hundred sixty-six million, two hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 701 1402 2804 3505 5608 6217 7010 9113 12434 14020 18226 24868 28040 31085 36452 45565 49736 62170 72904 80821 91130 124340 161642 182260 248680 323284 364520 404105 646568 808210 1616420 3232840 4358117 8716234 17432468 21790585 34864936 43581170 56655521 87162340 113311042 174324680 226622084 283277605 453244168 566555210 1133110420 2266220840