Base | Representation |
---|---|
bin | 1000010011111101… |
… | …1011101100001000 |
3 | 12202111102202210211 |
4 | 2010333123230020 |
5 | 14032143033000 |
6 | 1005222450504 |
7 | 106202031331 |
oct | 20477335410 |
9 | 5674382724 |
10 | 2231221000 |
11 | a455143a8 |
12 | 523293a34 |
13 | 297343318 |
14 | 172487288 |
15 | d0d377ba |
hex | 84fdbb08 |
2231221000 has 64 divisors (see below), whose sum is σ = 5229768960. Its totient is φ = 891000000.
The previous prime is 2231220941. The next prime is 2231221021. The reversal of 2231221000 is 1221322.
2231221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×22312210003 (a number of 29 digits) contains 333 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749515 + ... + 752485.
It is an arithmetic number, because the mean of its divisors is an integer number (81715140).
Almost surely, 22231221000 is an apocalyptic number.
2231221000 is a gapful number since it is divisible by the number (20) 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 2231221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614884480).
2231221000 is an abundant number, since it is smaller than the sum of its proper divisors (2998547960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231221000 is a wasteful number, since it uses less digits than its factorization.
2231221000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3743 (or 3729 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 2231221000 is about 47235.8020996786. The cubic root of 2231221000 is about 1306.7149592846.
Adding to 2231221000 its reverse (1221322), we get a palindrome (2232442322).
The spelling of 2231221000 in words is "two billion, two hundred thirty-one million, two hundred twenty-one thousand".
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