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226800369 = 3225200041
BaseRepresentation
bin11011000010010…
…11001011110001
3120210202122121200
431201023023301
5431030102434
634301041413
75422525365
oct1541131361
9523678550
10226800369
11107028524
1263b56269
1337cabb03
142219b2a5
1514da0199
hexd84b2f1

226800369 has 6 divisors (see below), whose sum is σ = 327600546. Its totient is φ = 151200240.

The previous prime is 226800347. The next prime is 226800373. The reversal of 226800369 is 963008622.

226800369 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 only one way, i.e., 223113969 + 3686400 = 14937^2 + 1920^2 .

It is not a de Polignac number, because 226800369 - 211 = 226798321 is a prime.

It is a super-2 number, since 2×2268003692 = 102876814757072322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (226807369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12600012 + ... + 12600029.

It is an arithmetic number, because the mean of its divisors is an integer number (54600091).

Almost surely, 2226800369 is an apocalyptic number.

It is an amenable number.

226800369 is a deficient number, since it is larger than the sum of its proper divisors (100800177).

226800369 is a wasteful number, since it uses less digits than its factorization.

226800369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25200047 (or 25200044 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226800369 is about 15059.8927287016. The cubic root of 226800369 is about 609.8381448209.

The spelling of 226800369 in words is "two hundred twenty-six million, eight hundred thousand, three hundred sixty-nine".

Divisors: 1 3 9 25200041 75600123 226800369