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2266104064 = 2876731879
BaseRepresentation
bin1000011100010010…
…0000000100000000
312211221002000101011
42013010200010000
514120110312224
61012510250304
7110104365250
oct20704400400
95757060334
102266104064
11a6317a584
12532ab6994
132a1637aa3
14176d67960
15d3e28394
hex87120100

2266104064 has 72 divisors (see below), whose sum is σ = 5179986560. Its totient is φ = 969228288.

The previous prime is 2266104041. The next prime is 2266104091. The reversal of 2266104064 is 4604016622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1205077 + ... + 1206955.

Almost surely, 22266104064 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 2266104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589993280).

2266104064 is an abundant number, since it is smaller than the sum of its proper divisors (2913882496).

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

2266104064 is an equidigital number, since it uses as much as digits as its factorization.

2266104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2266104064 is about 47603.6139804532. The cubic root of 2266104064 is about 1313.4895337306.

The spelling of 2266104064 in words is "two billion, two hundred sixty-six million, one hundred four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 673 896 1346 1792 1879 2692 3758 4711 5384 7516 9422 10768 13153 15032 18844 21536 26306 30064 37688 43072 52612 60128 75376 86144 105224 120256 150752 172288 210448 240512 301504 420896 481024 603008 841792 1206016 1264567 1683584 2529134 3367168 5058268 8851969 10116536 17703938 20233072 35407876 40466144 70815752 80932288 141631504 161864576 283263008 323729152 566526016 1133052032 2266104064