| Base | Representation |
|---|---|
| bin | 1000011011000101… |
| … | …1011010101000000 |
| 3 | 12211120122222111020 |
| 4 | 2012301123111000 |
| 5 | 14112320311221 |
| 6 | 1012211145440 |
| 7 | 110014031520 |
| oct | 20661332500 |
| 9 | 5746588436 |
| 10 | 2261103936 |
| 11 | a60374943 |
| 12 | 5312a5280 |
| 13 | 2a05a6c30 |
| 14 | 176425680 |
| 15 | d378bac6 |
| hex | 86c5b540 |
2261103936 has 224 divisors, whose sum is σ = 7428341760. Its totient is φ = 591058944.
The previous prime is 2261103931. The next prime is 2261103953. The reversal of 2261103936 is 6393011622.
It is a tau number, because it is divible by the number of its divisors (224).
It is a super-2 number, since 2×22611039362 = 10225182018789384192, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2261103897 and 2261103906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2261103931) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 2218435 + ... + 2219453.
It is an arithmetic number, because the mean of its divisors is an integer number (33162240).
Almost surely, 22261103936 is an apocalyptic number.
2261103936 is a gapful number since it is divisible by the number (26) 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 2261103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714170880).
2261103936 is an abundant number, since it is smaller than the sum of its proper divisors (5167237824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2261103936 is a wasteful number, since it uses less digits than its factorization.
2261103936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1181 (or 1171 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 33.
The square root of 2261103936 is about 47551.0666126429. The cubic root of 2261103936 is about 1312.5227566848.
The spelling of 2261103936 in words is "two billion, two hundred sixty-one million, one hundred three thousand, nine hundred thirty-six".
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