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226314 = 23411127
BaseRepresentation
bin110111010000001010
3102111110000
4313100022
524220224
64503430
71631544
oct672012
9374400
10226314
11145040
12aab76
137c01a
145c694
15470c9
hex3740a

226314 has 40 divisors (see below), whose sum is σ = 557568. Its totient is φ = 68040.

The previous prime is 226313. The next prime is 226337. The reversal of 226314 is 413622.

It is a happy number.

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

It is a d-powerful number, because it can be written as 23 + 215 + 311 + 6 + 1 + 47 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (226313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1719 + ... + 1845.

2226314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278784).

226314 is an abundant number, since it is smaller than the sum of its proper divisors (331254).

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

226314 is a wasteful number, since it uses less digits than its factorization.

226314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

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

The square root of 226314 is about 475.7247103105. The cubic root of 226314 is about 60.9401904138.

Adding to 226314 its reverse (413622), we get a palindrome (639936).

It can be divided in two parts, 22 and 6314, that added together give a palindrome (6336).

The spelling of 226314 in words is "two hundred twenty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 127 162 198 254 297 381 594 762 891 1143 1397 1782 2286 2794 3429 4191 6858 8382 10287 12573 20574 25146 37719 75438 113157 226314