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226401344 = 2613416637
BaseRepresentation
bin11010111111010…
…01110001000000
3120210000101020222
431133221301000
5430424320334
634244322212
75416244141
oct1537516100
9523011228
10226401344
11106885754
12639a3368
1337b9c2c0
14220d5ac8
1514d21d2e
hexd7e9c40

226401344 has 56 divisors (see below), whose sum is σ = 495699288. Its totient is φ = 101928960.

The previous prime is 226401311. The next prime is 226401353. The reversal of 226401344 is 443104622.

226401344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37063744 + 189337600 = 6088^2 + 13760^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30794 + ... + 37430.

It is an arithmetic number, because the mean of its divisors is an integer number (8851773).

Almost surely, 2226401344 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 226401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247849644).

226401344 is an abundant number, since it is smaller than the sum of its proper divisors (269297944).

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

226401344 is a wasteful number, since it uses less digits than its factorization.

226401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 226401344 is about 15046.6389602462. The cubic root of 226401344 is about 609.4802919142.

Adding to 226401344 its reverse (443104622), we get a palindrome (669505966).

The spelling of 226401344 in words is "two hundred twenty-six million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1066 1312 2132 2624 4264 6637 8528 13274 17056 26548 34112 53096 86281 106192 172562 212384 272117 345124 424768 544234 690248 1088468 1380496 2176936 2760992 3537521 4353872 5521984 7075042 8707744 14150084 17415488 28300168 56600336 113200672 226401344