[go: up one dir, main page]

Search a number
-
+
110123226 = 235347653
BaseRepresentation
bin1101001000001…
…01100011011010
321200012211200000
412210011203122
5211142420401
614532153430
72505013653
oct644054332
9250184600
10110123226
1157186234
1230a68876
1319a79495
14108a852a
159a04186
hex69058da

110123226 has 48 divisors (see below), whose sum is σ = 248530464. Its totient is φ = 36545904.

The previous prime is 110123207. The next prime is 110123231. The reversal of 110123226 is 622321011.

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 = 110123199 and 110123208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168316 + ... + 168968.

It is an arithmetic number, because the mean of its divisors is an integer number (5177718).

Almost surely, 2110123226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110123226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124265232).

110123226 is an abundant number, since it is smaller than the sum of its proper divisors (138407238).

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

110123226 is an equidigital number, since it uses as much as digits as its factorization.

110123226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 110123226 is about 10493.9614064470. The cubic root of 110123226 is about 479.3208363631.

Adding to 110123226 its reverse (622321011), we get a palindrome (732444237).

The spelling of 110123226 in words is "one hundred ten million, one hundred twenty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 347 486 653 694 1041 1306 1959 2082 3123 3918 5877 6246 9369 11754 17631 18738 28107 35262 52893 56214 84321 105786 158679 168642 226591 317358 453182 679773 1359546 2039319 4078638 6117957 12235914 18353871 36707742 55061613 110123226