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224826 = 23753101
BaseRepresentation
bin110110111000111010
3102102101220
4312320322
524143301
64452510
71624320
oct667072
9372356
10224826
11143a08
12aa136
137b444
145bd10
1546936
hex36e3a

224826 has 32 divisors (see below), whose sum is σ = 528768. Its totient is φ = 62400.

The previous prime is 224813. The next prime is 224831. The reversal of 224826 is 628422.

224826 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224796 and 224805.

It is an unprimeable number.

224826 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2176 + ... + 2276.

It is an arithmetic number, because the mean of its divisors is an integer number (16524).

2224826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384).

224826 is an abundant number, since it is smaller than the sum of its proper divisors (303942).

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

224826 is a wasteful number, since it uses less digits than its factorization.

224826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166.

The product of its digits is 1536, while the sum is 24.

The square root of 224826 is about 474.1582014476. The cubic root of 224826 is about 60.8063373473.

The spelling of 224826 in words is "two hundred twenty-four thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 53 101 106 159 202 303 318 371 606 707 742 1113 1414 2121 2226 4242 5353 10706 16059 32118 37471 74942 112413 224826