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226122 = 23132223
BaseRepresentation
bin110111001101001010
3102111011220
4313031022
524213442
64502510
71631151
oct671512
9374156
10226122
11144986
12aaa36
137bc00
145c598
1546eec
hex3734a

226122 has 24 divisors (see below), whose sum is σ = 491904. Its totient is φ = 69264.

The previous prime is 226103. The next prime is 226123. The reversal of 226122 is 221622.

It is a super-2 number, since 2×2261222 = 102262317768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (226123) by changing a digit.

226122 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 11 ways as a sum of consecutive naturals, for example, 903 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (20496).

2226122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245952).

226122 is an abundant number, since it is smaller than the sum of its proper divisors (265782).

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

226122 is a wasteful number, since it uses less digits than its factorization.

226122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 226122 is about 475.5228701125. The cubic root of 226122 is about 60.9229520827.

Adding to 226122 its reverse (221622), we get a palindrome (447744).

It can be divided in two parts, 226 and 122, that multiplied together give a palindrome (27572).

The spelling of 226122 in words is "two hundred twenty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 169 223 338 446 507 669 1014 1338 2899 5798 8697 17394 37687 75374 113061 226122