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226446 = 23114773
BaseRepresentation
bin110111010010001110
3102111121220
4313102032
524221241
64504210
71632123
oct672216
9374556
10226446
11145150
12ab066
137c0bc
145c74a
1547166
hex3748e

226446 has 32 divisors (see below), whose sum is σ = 511488. Its totient is φ = 66240.

The previous prime is 226433. The next prime is 226451. The reversal of 226446 is 644622.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226446.

It is an unprimeable number.

226446 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3066 + ... + 3138.

It is an arithmetic number, because the mean of its divisors is an integer number (15984).

2226446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255744).

226446 is an abundant number, since it is smaller than the sum of its proper divisors (285042).

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

226446 is a wasteful number, since it uses less digits than its factorization.

226446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its digits is 2304, while the sum is 24.

The square root of 226446 is about 475.8634257852. The cubic root of 226446 is about 60.9520361115.

The spelling of 226446 in words is "two hundred twenty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 47 66 73 94 141 146 219 282 438 517 803 1034 1551 1606 2409 3102 3431 4818 6862 10293 20586 37741 75482 113223 226446