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2435225226 = 23733731981
BaseRepresentation
bin1001000100100110…
…1001011010001010
320021201022020222220
42101021221122022
514441404201401
61041351154510
7114230034000
oct22111513212
96251266886
102435225226
11103a691835
1257b675a36
132ca6a0095
141915cca70
15e3bd3336
hex9126968a

2435225226 has 64 divisors (see below), whose sum is σ = 5833516800. Its totient is φ = 676952640.

The previous prime is 2435225203. The next prime is 2435225239. The reversal of 2435225226 is 6225225342.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 60156 + ... + 92136.

It is an arithmetic number, because the mean of its divisors is an integer number (91148700).

Almost surely, 22435225226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2435225226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916758400).

2435225226 is an abundant number, since it is smaller than the sum of its proper divisors (3398291574).

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

2435225226 is a wasteful number, since it uses less digits than its factorization.

2435225226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32044 (or 32030 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

The square root of 2435225226 is about 49348.0012361190. The cubic root of 2435225226 is about 1345.3843699988.

The spelling of 2435225226 in words is "two billion, four hundred thirty-five million, two hundred twenty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 343 518 686 777 1029 1554 1813 2058 3626 5439 10878 12691 25382 31981 38073 63962 76146 95943 191886 223867 447734 671601 1183297 1343202 1567069 2366594 3134138 3549891 4701207 7099782 8283079 9402414 10969483 16566158 21938966 24849237 32908449 49698474 57981553 65816898 115963106 173944659 347889318 405870871 811741742 1217612613 2435225226