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226328128 = 2613272029
BaseRepresentation
bin11010111110101…
…11111001000000
3120202212122211021
431133113321000
5430420000003
634242555224
75415520525
oct1537277100
9522778737
10226328128
11106835744
1263968b14
1337b74b90
14220b714c
1514d0a2bd
hexd7d7e40

226328128 has 28 divisors (see below), whose sum is σ = 483669340. Its totient is φ = 104458752.

The previous prime is 226328107. The next prime is 226328129. The reversal of 226328128 is 821823622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89718784 + 136609344 = 9472^2 + 11688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 226328093 and 226328102.

It is not an unprimeable number, because it can be changed into a prime (226328129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135183 + ... + 136846.

It is an arithmetic number, because the mean of its divisors is an integer number (17273905).

Almost surely, 2226328128 is an apocalyptic number.

It is an amenable number.

226328128 is an abundant number, since it is smaller than the sum of its proper divisors (257341212).

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

226328128 is a wasteful number, since it uses less digits than its factorization.

226328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272054 (or 272044 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 226328128 is about 15044.2057949232. The cubic root of 226328128 is about 609.4145848245.

The spelling of 226328128 in words is "two hundred twenty-six million, three hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 272029 544058 1088116 2176232 3536377 4352464 7072754 8704928 14145508 17409856 28291016 56582032 113164064 226328128