Search a number
-
+
226816 = 29443
BaseRepresentation
bin110111011000000000
3102112010121
4313120000
524224231
64510024
71633162
oct673000
9375117
10226816
11145457
12ab314
137c315
145c932
1547311
hex37600

226816 has 20 divisors (see below), whose sum is σ = 454212. Its totient is φ = 113152.

The previous prime is 226813. The next prime is 226817. The reversal of 226816 is 618622.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 291 + ... + 733.

2226816 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 226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227106).

226816 is an abundant number, since it is smaller than the sum of its proper divisors (227396).

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

226816 is an frugal number, since it uses more digits than its factorization.

226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 226816 is about 476.2520341164. The cubic root of 226816 is about 60.9852154441.

The spelling of 226816 in words is "two hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 443 512 886 1772 3544 7088 14176 28352 56704 113408 226816