Base | Representation |
---|---|
bin | 1000010011111111… |
… | …1000110000000000 |
3 | 12202111122211002102 |
4 | 2010333320300000 |
5 | 14032210340112 |
6 | 1005225205532 |
7 | 106203035345 |
oct | 20477706000 |
9 | 5674584072 |
10 | 2231340032 |
11 | a45595879 |
12 | 5233308a8 |
13 | 29738555c |
14 | 1724b87cc |
15 | d0d5cbc2 |
hex | 84ff8c00 |
2231340032 has 88 divisors (see below), whose sum is σ = 4929110496. Its totient is φ = 1004208128.
The previous prime is 2231339989. The next prime is 2231340043. The reversal of 2231340032 is 2300431322.
It is a super-3 number, since 3×22313400323 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 2231339986 and 2231340013.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397598 + ... + 403170.
Almost surely, 22231340032 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 2231340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464555248).
2231340032 is an abundant number, since it is smaller than the sum of its proper divisors (2697770464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231340032 is a wasteful number, since it uses less digits than its factorization.
2231340032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5633 (or 5615 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 2231340032 is about 47237.0620593618. The cubic root of 2231340032 is about 1306.7381959084.
Adding to 2231340032 its reverse (2300431322), we get a palindrome (4531771354).
The spelling of 2231340032 in words is "two billion, two hundred thirty-one million, three hundred forty thousand, thirty-two".
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