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2210859008 = 21110392
BaseRepresentation
bin1000001111000111…
…0000100000000000
312201002010021101222
42003301300200000
514011434442013
61003214214212
7105533664041
oct20361604000
95632107358
102210859008
11a34a77106
125184b4368
132930641c7
1416d8a68c8
15ce164508
hex83c70800

2210859008 has 36 divisors (see below), whose sum is σ = 4424897295. Its totient is φ = 1104365568.

The previous prime is 2210858977. The next prime is 2210859029. The reversal of 2210859008 is 8009580122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1105429504 + 1105429504 = 33248^2 + 33248^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33248.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2127353 + ... + 2128391.

Almost surely, 22210859008 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 2210859008

2210859008 is an abundant number, since it is smaller than the sum of its proper divisors (2214038287).

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

2210859008 is an frugal number, since it uses more digits than its factorization.

2210859008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 2210859008 is about 47019.7725217807. The cubic root of 2210859008 is about 1302.7278043644.

The spelling of 2210859008 in words is "two billion, two hundred ten million, eight hundred fifty-nine thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1039 2048 2078 4156 8312 16624 33248 66496 132992 265984 531968 1063936 1079521 2127872 2159042 4318084 8636168 17272336 34544672 69089344 138178688 276357376 552714752 1105429504 2210859008