Search a number
-
+
226801 = 337673
BaseRepresentation
bin110111010111110001
3102112010001
4313113301
524224201
64510001
71633141
oct672761
9375101
10226801
11145443
12ab301
137c303
145c921
1547301
hex375f1

226801 has 4 divisors (see below), whose sum is σ = 227812. Its totient is φ = 225792.

The previous prime is 226799. The next prime is 226813. The reversal of 226801 is 108622.

It is a happy number.

226801 is a nontrivial binomial coefficient, being equal to C(674, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 108622 = 254311.

It can be written as a sum of positive squares in 2 ways, for example, as 67600 + 159201 = 260^2 + 399^2 .

It is a 3-Lehmer number, since φ(226801) divides (226801-1)3.

It is a cyclic number.

It is not a de Polignac number, because 226801 - 21 = 226799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226871) 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, 1 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (56953).

It is a Poulet number, since it divides 2226800-1.

2226801 is an apocalyptic number.

226801 is the 673-rd triangular number and also the 337-th hexagonal number.

226801 is the 225-th centered nonagonal number.

It is an amenable number.

226801 is a deficient number, since it is larger than the sum of its proper divisors (1011).

226801 is an equidigital number, since it uses as much as digits as its factorization.

226801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 226801 is about 476.2362858918. The cubic root of 226801 is about 60.9838710381.

The spelling of 226801 in words is "two hundred twenty-six thousand, eight hundred one".

Divisors: 1 337 673 226801