Base | Representation |
---|---|
bin | 1000010001110001… |
… | …0001101011100000 |
3 | 12201212002112210000 |
4 | 2010130101223200 |
5 | 14022313124320 |
6 | 1004253140000 |
7 | 106030505400 |
oct | 20434215340 |
9 | 5655075700 |
10 | 2222004960 |
11 | a4029a23a |
12 | 52018a600 |
13 | 295467546 |
14 | 171168800 |
15 | d0116c90 |
hex | 84711ae0 |
2222004960 has 360 divisors, whose sum is σ = 9124731000. Its totient is φ = 507741696.
The previous prime is 2222004937. The next prime is 2222004979. The reversal of 2222004960 is 694002222.
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 633291 + ... + 636789.
It is an arithmetic number, because the mean of its divisors is an integer number (25346475).
Almost surely, 22222004960 is an apocalyptic number.
2222004960 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 2222004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562365500).
2222004960 is an abundant number, since it is smaller than the sum of its proper divisors (6902726040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222004960 is a wasteful number, since it uses less digits than its factorization.
2222004960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3540 (or 3516 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 2222004960 is about 47138.1476089165. The cubic root of 2222004960 is about 1304.9133513614.
The spelling of 2222004960 in words is "two billion, two hundred twenty-two million, four thousand, nine hundred sixty".
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