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226413 = 32112287
BaseRepresentation
bin110111010001101101
3102111120200
4313101231
524221123
64504113
71632045
oct672155
9374520
10226413
11145120
12ab039
137c095
145c725
1547143
hex3746d

226413 has 12 divisors (see below), whose sum is σ = 356928. Its totient is φ = 137160.

The previous prime is 226409. The next prime is 226427. The reversal of 226413 is 314622.

It is a happy number.

226413 is a `hidden beast` number, since 22 + 641 + 3 = 666.

226413 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226413 - 22 = 226409 is a prime.

226413 is strictly pandigital in base 7.

226413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1045 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (29744).

2226413 is an apocalyptic number.

It is an amenable number.

226413 is a deficient number, since it is larger than the sum of its proper divisors (130515).

226413 is a wasteful number, since it uses less digits than its factorization.

226413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2301 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 226413 is about 475.8287507076. The cubic root of 226413 is about 60.9490751187.

Subtracting 226413 from its reverse (314622), we obtain a square (88209 = 2972).

The spelling of 226413 in words is "two hundred twenty-six thousand, four hundred thirteen".

Divisors: 1 3 9 11 33 99 2287 6861 20583 25157 75471 226413