Base | Representation |
---|---|
bin | 111011011111… |
… | …1010010100000 |
3 | 2011200201200120 |
4 | 1312333102200 |
5 | 30441122344 |
6 | 3032320240 |
7 | 526062300 |
oct | 166772240 |
9 | 64621616 |
10 | 31192224 |
11 | 166751a8 |
12 | a543080 |
13 | 660184b |
14 | 41dd600 |
15 | 2b12219 |
hex | 1dbf4a0 |
31192224 has 144 divisors (see below), whose sum is σ = 100548000. Its totient is φ = 8418816.
The previous prime is 31192219. The next prime is 31192237. The reversal of 31192224 is 42229113.
It is a Cunningham number, because it is equal to 55852-1.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 31192194 and 31192203.
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, 89202 + ... + 89550.
It is an arithmetic number, because the mean of its divisors is an integer number (698250).
Almost surely, 231192224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31192224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50274000).
31192224 is an abundant number, since it is smaller than the sum of its proper divisors (69355776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31192224 is a wasteful number, since it uses less digits than its factorization.
31192224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 395 (or 380 counting only the distinct ones).
The product of its digits is 864, while the sum is 24.
The square root of 31192224 is about 5584.9999104745. Note that the first 4 decimals coincide. The cubic root of 31192224 is about 314.7860275257.
The spelling of 31192224 in words is "thirty-one million, one hundred ninety-two thousand, two hundred twenty-four".
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