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314226 = 23311232
BaseRepresentation
bin1001100101101110010
3120222001000
41030231302
540023401
610422430
72446053
oct1145562
9528030
10314226
111a50a0
12131a16
13b0043
148272a
1563186
hex4cb72

314226 has 48 divisors (see below), whose sum is σ = 796320. Its totient is φ = 91080.

The previous prime is 314219. The next prime is 314227. The reversal of 314226 is 622413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314199 and 314208.

It is not an unprimeable number, because it can be changed into a prime (314227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13651 + ... + 13673.

It is an arithmetic number, because the mean of its divisors is an integer number (16590).

2314226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398160).

314226 is an abundant number, since it is smaller than the sum of its proper divisors (482094).

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

314226 is a wasteful number, since it uses less digits than its factorization.

314226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 39 counting only the distinct ones).

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

The square root of 314226 is about 560.5586499199. The cubic root of 314226 is about 67.9851466981.

Adding to 314226 its reverse (622413), we get a palindrome (936639).

The spelling of 314226 in words is "three hundred fourteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 529 594 621 759 1058 1242 1518 1587 2277 3174 4554 4761 5819 6831 9522 11638 13662 14283 17457 28566 34914 52371 104742 157113 314226