Base | Representation |
---|---|
bin | 111011010111… |
… | …0010000001100 |
3 | 2011120011222010 |
4 | 1312232100030 |
5 | 30431404234 |
6 | 3031021220 |
7 | 525351663 |
oct | 166562014 |
9 | 64504863 |
10 | 31122444 |
11 | 16627831 |
12 | a50a810 |
13 | 65a8b62 |
14 | 41c1dda |
15 | 2aeb6e9 |
hex | 1dae40c |
31122444 has 72 divisors (see below), whose sum is σ = 80078544. Its totient is φ = 9369600.
The previous prime is 31122409. The next prime is 31122449. The reversal of 31122444 is 44422113.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 31122444.
It is not an unprimeable number, because it can be changed into a prime (31122449) 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, 510174 + ... + 510234.
It is an arithmetic number, because the mean of its divisors is an integer number (1112202).
Almost surely, 231122444 is an apocalyptic number.
31122444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40039272).
31122444 is an abundant number, since it is smaller than the sum of its proper divisors (48956100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31122444 is a wasteful number, since it uses less digits than its factorization.
31122444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 187 (or 124 counting only the distinct ones).
The product of its digits is 768, while the sum is 21.
The square root of 31122444 is about 5578.7493222048. The cubic root of 31122444 is about 314.5511167433.
Adding to 31122444 its reverse (44422113), we get a palindrome (75544557).
The spelling of 31122444 in words is "thirty-one million, one hundred twenty-two thousand, four hundred forty-four".
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