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226046016 = 2632728009
BaseRepresentation
bin11010111100100…
…11000001000000
3120202100022211200
431132103001000
5430331433031
634232541200
75413234200
oct1536230100
9522308750
10226046016
11106662799
1263851800
1337aa6651
1422042400
1514ca18e6
hexd793040

226046016 has 126 divisors (see below), whose sum is σ = 753797070. Its totient is φ = 64576512.

The previous prime is 226046011. The next prime is 226046057. The reversal of 226046016 is 610640622.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 203918400 + 22127616 = 14280^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is not an unprimeable number, because it can be changed into a prime (226046011) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 24220 + ... + 32228.

Almost surely, 2226046016 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 226046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376898535).

226046016 is an abundant number, since it is smaller than the sum of its proper divisors (527751054).

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

226046016 is a wasteful number, since it uses less digits than its factorization.

226046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 226046016 is about 15034.8267698700. The cubic root of 226046016 is about 609.1612731822.

Adding to 226046016 its reverse (610640622), we get a palindrome (836686638).

The spelling of 226046016 in words is "two hundred twenty-six million, forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 8009 9408 14112 16018 24027 28224 32036 48054 56063 64072 72081 96108 112126 128144 144162 168189 192216 224252 256288 288324 336378 384432 392441 448504 504567 512576 576648 672756 768864 784882 897008 1009134 1153296 1177323 1345512 1537728 1569764 1794016 2018268 2306592 2354646 2691024 3139528 3531969 3588032 4036536 4613184 4709292 5382048 6279056 7063938 8073072 9418584 10764096 12558112 14127876 16146144 18837168 25116224 28255752 32292288 37674336 56511504 75348672 113023008 226046016