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2226616016 = 24232503523
BaseRepresentation
bin1000010010110111…
…0111011011010000
312202011202210221212
42010231313123100
514030003203031
61004540035252
7106114631612
oct20455673320
95664683855
102226616016
11a42959629
12521832b28
132963c0291
14171a08db2
15d072812b
hex84b776d0

2226616016 has 60 divisors (see below), whose sum is σ = 4527397728. Its totient is φ = 1060754112.

The previous prime is 2226616009. The next prime is 2226616057. The reversal of 2226616016 is 6106166222.

2226616016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4257131 + ... + 4257653.

Almost surely, 22226616016 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 2226616016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263698864).

2226616016 is an abundant number, since it is smaller than the sum of its proper divisors (2300781712).

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

2226616016 is a wasteful number, since it uses less digits than its factorization.

2226616016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2226616016 is about 47187.0322864238. The cubic root of 2226616016 is about 1305.8153702292.

The spelling of 2226616016 in words is "two billion, two hundred twenty-six million, six hundred sixteen thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 368 503 523 529 1006 1046 1058 2012 2092 2116 4024 4184 4232 8048 8368 8464 11569 12029 23138 24058 46276 48116 92552 96232 185104 192464 263069 266087 276667 526138 532174 553334 1052276 1064348 1106668 2104552 2128696 2213336 4209104 4257392 4426672 6050587 12101174 24202348 48404696 96809392 139163501 278327002 556654004 1113308008 2226616016