| Base | Representation |
|---|---|
| bin | 1000011011000110… |
| … | …1011111110011000 |
| 3 | 12211120210110000120 |
| 4 | 2012301223332120 |
| 5 | 14112330001440 |
| 6 | 1012212433240 |
| 7 | 110014434354 |
| oct | 20661537630 |
| 9 | 5746713016 |
| 10 | 2261172120 |
| 11 | a60411099 |
| 12 | 531318820 |
| 13 | 2a05cbc8c |
| 14 | 176442464 |
| 15 | d37a1dd0 |
| hex | 86c6bf98 |
2261172120 has 128 divisors (see below), whose sum is σ = 6986649600. Its totient is φ = 585017856.
The previous prime is 2261172119. The next prime is 2261172127. The reversal of 2261172120 is 212711622.
It is a super-2 number, since 2×22611721202 = 10225798712530588800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2261172127) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 2694661 + ... + 2695499.
It is an arithmetic number, because the mean of its divisors is an integer number (54583200).
Almost surely, 22261172120 is an apocalyptic number.
2261172120 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 2261172120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493324800).
2261172120 is an abundant number, since it is smaller than the sum of its proper divisors (4725477480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2261172120 is a wasteful number, since it uses less digits than its factorization.
2261172120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 24.
The square root of 2261172120 is about 47551.7835627645. The cubic root of 2261172120 is about 1312.5359496729.
Adding to 2261172120 its reverse (212711622), we get a palindrome (2473883742).
The spelling of 2261172120 in words is "two billion, two hundred sixty-one million, one hundred seventy-two thousand, one hundred twenty".
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