Base | Representation |
---|---|
bin | 11101000100111111… |
… | …010111010100000000 |
3 | 2222120221010201220211 |
4 | 131010333113110000 |
5 | 1002420342413240 |
6 | 22202052443504 |
7 | 2153500411246 |
oct | 350477272400 |
9 | 88527121824 |
10 | 31222232320 |
11 | 12272155294 |
12 | 6074319594 |
13 | 2c37671aa6 |
14 | 17228c4796 |
15 | c2b0a6bea |
hex | 744fd7500 |
31222232320 has 72 divisors (see below), whose sum is σ = 74942066304. Its totient is φ = 12462999552.
The previous prime is 31222232299. The next prime is 31222232369. The reversal of 31222232320 is 2323222213.
It is a junction number, because it is equal to n+sod(n) for n = 31222232291 and 31222232300.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598317 + ... + 648403.
It is an arithmetic number, because the mean of its divisors is an integer number (1040862032).
Almost surely, 231222232320 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 31222232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37471033152).
31222232320 is an abundant number, since it is smaller than the sum of its proper divisors (43719833984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31222232320 is an equidigital number, since it uses as much as digits as its factorization.
31222232320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 50595 (or 50581 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 22.
Adding to 31222232320 its reverse (2323222213), we get a palindrome (33545454533).
The spelling of 31222232320 in words is "thirty-one billion, two hundred twenty-two million, two hundred thirty-two thousand, three hundred twenty".
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