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2205812096 = 2771251967
BaseRepresentation
bin1000001101111010…
…0000010110000000
312200201121212100022
42003132200112000
514004141441341
61002514113012
7105443044025
oct20336402600
95621555308
102205812096
11a3213a304
1251687b768
13291cb7c77
1416cd5154c
15cd9b8e4b
hex837a0580

2205812096 has 64 divisors (see below), whose sum is σ = 4478664960. Its totient is φ = 1081920000.

The previous prime is 2205812083. The next prime is 2205812111. The reversal of 2205812096 is 6902185022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2280605 + ... + 2281571.

It is an arithmetic number, because the mean of its divisors is an integer number (69979140).

Almost surely, 22205812096 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 2205812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239332480).

2205812096 is an abundant number, since it is smaller than the sum of its proper divisors (2272852864).

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

2205812096 is an equidigital number, since it uses as much as digits as its factorization.

2205812096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 2205812096 is about 46966.0738831766. The cubic root of 2205812096 is about 1301.7357673582.

The spelling of 2205812096 in words is "two billion, two hundred five million, eight hundred twelve thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 251 284 502 568 967 1004 1136 1934 2008 2272 3868 4016 4544 7736 8032 9088 15472 16064 17821 30944 32128 35642 61888 68657 71284 123776 137314 142568 242717 274628 285136 485434 549256 570272 970868 1098512 1140544 1941736 2197024 2281088 3883472 4394048 7766944 8788096 15533888 17232907 31067776 34465814 68931628 137863256 275726512 551453024 1102906048 2205812096