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226400016 = 243171072593
BaseRepresentation
bin11010111111010…
…01011100010000
3120210000022102210
431133221130100
5430424300031
634244312120
75416240233
oct1537513420
9523008383
10226400016
11106884757
12639a2640
1337b9b80b
14220d541a
1514d21746
hexd7e9710

226400016 has 80 divisors (see below), whose sum is σ = 625299264. Its totient is φ = 70336512.

The previous prime is 226400011. The next prime is 226400021. The reversal of 226400016 is 610004622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226400011) and next prime (226400021).

It is a junction number, because it is equal to n+sod(n) for n = 226399965 and 226400001.

It is not an unprimeable number, because it can be changed into a prime (226400011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86016 + ... + 88608.

Almost surely, 2226400016 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 226400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312649632).

226400016 is an abundant number, since it is smaller than the sum of its proper divisors (398899248).

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

226400016 is a wasteful number, since it uses less digits than its factorization.

226400016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 226400016 is about 15046.5948307250. The cubic root of 226400016 is about 609.4791002378.

Adding to 226400016 its reverse (610004622), we get a palindrome (836404638).

The spelling of 226400016 in words is "two hundred twenty-six million, four hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 107 136 204 214 272 321 408 428 642 816 856 1284 1712 1819 2568 2593 3638 5136 5186 5457 7276 7779 10372 10914 14552 15558 20744 21828 29104 31116 41488 43656 44081 62232 87312 88162 124464 132243 176324 264486 277451 352648 528972 554902 705296 832353 1057944 1109804 1664706 2115888 2219608 3329412 4439216 4716667 6658824 9433334 13317648 14150001 18866668 28300002 37733336 56600004 75466672 113200008 226400016