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226461 = 31929137
BaseRepresentation
bin110111010010011101
3102111122110
4313102131
524221321
64504233
71632144
oct672235
9374573
10226461
11145164
12ab079
137c101
145c75b
1547176
hex3749d

226461 has 16 divisors (see below), whose sum is σ = 331200. Its totient is φ = 137088.

The previous prime is 226453. The next prime is 226463. The reversal of 226461 is 164622.

It is a happy number.

It is not a de Polignac number, because 226461 - 23 = 226453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226463) 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 15 ways as a sum of consecutive naturals, for example, 1585 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2226461 is an apocalyptic number.

It is an amenable number.

226461 is a deficient number, since it is larger than the sum of its proper divisors (104739).

226461 is a wasteful number, since it uses less digits than its factorization.

226461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

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

The square root of 226461 is about 475.8791863488. The cubic root of 226461 is about 60.9533819222.

The spelling of 226461 in words is "two hundred twenty-six thousand, four hundred sixty-one".

Divisors: 1 3 19 29 57 87 137 411 551 1653 2603 3973 7809 11919 75487 226461