| Base | Representation |
|---|---|
| bin | 1000011100000010… |
| … | …1111110100000000 |
| 3 | 12211212020000111100 |
| 4 | 2013000233310000 |
| 5 | 14114332320000 |
| 6 | 1012433214400 |
| 7 | 110063126253 |
| oct | 20700576400 |
| 9 | 5755200440 |
| 10 | 2265120000 |
| 11 | a62668200 |
| 12 | 532701400 |
| 13 | 2a1381bc0 |
| 14 | 176b8d09a |
| 15 | d3cd1a00 |
| hex | 8702fd00 |
2265120000 has 810 divisors, whose sum is σ = 9660396746. Its totient is φ = 506880000.
The previous prime is 2265119947. The next prime is 2265120007. The reversal of 2265120000 is 215622.
It can be written as a sum of positive squares in 5 ways, for example, as 1327290624 + 937829376 = 36432^2 + 30624^2 .
It is a super-2 number, since 2×22651200002 = 10261537228800000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2265120007) by changing a digit.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 174239994 + ... + 174240006.
Almost surely, 22265120000 is an apocalyptic number.
2265120000 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 2265120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830198373).
2265120000 is an abundant number, since it is smaller than the sum of its proper divisors (7395276746).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2265120000 is a wasteful number, since it uses less digits than its factorization.
2265120000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 77 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 2265120000 is about 47593.2768361247. The cubic root of 2265120000 is about 1313.2993769869.
Adding to 2265120000 its reverse (215622), we get a palindrome (2265335622).
It can be divided in two parts, 2265 and 120000, that added together give a triangular number (122265 = T494).
The spelling of 2265120000 in words is "two billion, two hundred sixty-five million, one hundred twenty thousand".
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