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226935 = 335412
BaseRepresentation
bin110111011001110111
3102112022000
4313121313
524230220
64510343
71633422
oct673167
9375260
10226935
11145555
12ab3b3
137c3a7
145c9b9
1547390
hex37677

226935 has 24 divisors (see below), whose sum is σ = 413520. Its totient is φ = 118080.

The previous prime is 226913. The next prime is 226937. The reversal of 226935 is 539622.

226935 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 226935 - 25 = 226903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 226899 and 226908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5515 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (17230).

226935 is a Friedman number, since it can be written as (9+6)*(5^3-2)^2, using all its digits and the basic arithmetic operations.

2226935 is an apocalyptic number.

226935 is a deficient number, since it is larger than the sum of its proper divisors (186585).

226935 is an equidigital number, since it uses as much as digits as its factorization.

226935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 49 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 226935 is about 476.3769515835. The cubic root of 226935 is about 60.9958789655.

It can be divided in two parts, 2269 and 35, that added together give a square (2304 = 482).

The spelling of 226935 in words is "two hundred twenty-six thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 615 1107 1681 1845 5043 5535 8405 15129 25215 45387 75645 226935