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226083 = 311131731
BaseRepresentation
bin110111001100100011
3102111010110
4313030203
524213313
64502403
71631064
oct671443
9374113
10226083
11144950
12aaa03
137bba0
145c56b
1546ec3
hex37323

226083 has 32 divisors (see below), whose sum is σ = 387072. Its totient is φ = 115200.

The previous prime is 226063. The next prime is 226087. The reversal of 226083 is 380622.

It is not a de Polignac number, because 226083 - 212 = 221987 is a prime.

It is a super-2 number, since 2×2260832 = 102227045778, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a D-number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226083.

It is not an unprimeable number, because it can be changed into a prime (226087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7278 + ... + 7308.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2226083 is an apocalyptic number.

226083 is a deficient number, since it is larger than the sum of its proper divisors (160989).

226083 is a wasteful number, since it uses less digits than its factorization.

226083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 226083 is about 475.4818608528. The cubic root of 226083 is about 60.9194493545.

It can be divided in two parts, 22 and 6083, that added together give a triangular number (6105 = T110).

The spelling of 226083 in words is "two hundred twenty-six thousand, eighty-three".

Divisors: 1 3 11 13 17 31 33 39 51 93 143 187 221 341 403 429 527 561 663 1023 1209 1581 2431 4433 5797 6851 7293 13299 17391 20553 75361 226083