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2266608680 = 235722939877
BaseRepresentation
bin1000011100011001…
…1011010000101000
312211222000122120122
42013012123100220
514120222434210
61012525142412
7110111566400
oct20706332050
95758018518
102266608680
11a63494716
125330baa08
132a178368b
14177059800
15d3ec7b55
hex8719b428

2266608680 has 96 divisors (see below), whose sum is σ = 6137224200. Its totient is φ = 750306816.

The previous prime is 2266608661. The next prime is 2266608689. The reversal of 2266608680 is 868066622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1440506116 + 826102564 = 37954^2 + 28742^2 .

It is not an unprimeable number, because it can be changed into a prime (2266608689) 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 23 ways as a sum of consecutive naturals, for example, 36902 + ... + 76778.

Almost surely, 22266608680 is an apocalyptic number.

2266608680 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 2266608680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068612100).

2266608680 is an abundant number, since it is smaller than the sum of its proper divisors (3870615520).

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

2266608680 is a wasteful number, since it uses less digits than its factorization.

2266608680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39931 (or 39920 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 2266608680 is about 47608.9138712489. The cubic root of 2266608680 is about 1313.5870224342.

The spelling of 2266608680 in words is "two billion, two hundred sixty-six million, six hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 980 1015 1160 1421 1624 1960 2030 2842 4060 5684 7105 8120 11368 14210 28420 39877 56840 79754 159508 199385 279139 319016 398770 558278 797540 1116556 1156433 1395695 1595080 1953973 2233112 2312866 2791390 3907946 4625732 5582780 5782165 7815892 8095031 9251464 9769865 11165560 11564330 15631784 16190062 19539730 23128660 32380124 39079460 40475155 46257320 56665217 64760248 78158920 80950310 113330434 161900620 226660868 283326085 323801240 453321736 566652170 1133304340 2266608680