| Base | Representation |
|---|---|
| bin | 1000011100000111… |
| … | …0111101111100000 |
| 3 | 12211212202222122100 |
| 4 | 2013001313233200 |
| 5 | 14114421231444 |
| 6 | 1012443410400 |
| 7 | 110065464234 |
| oct | 20701675740 |
| 9 | 5755688570 |
| 10 | 2265414624 |
| 11 | a628495a0 |
| 12 | 532823a00 |
| 13 | 2a1456035 |
| 14 | 176c285c4 |
| 15 | d3d3de69 |
| hex | 87077be0 |
2265414624 has 144 divisors (see below), whose sum is σ = 7333732224. Its totient is φ = 656620800.
The previous prime is 2265414553. The next prime is 2265414629. The reversal of 2265414624 is 4264145622.
2265414624 is a `hidden beast` number, since 2 + 26 + 5 + 4 + 1 + 4 + 624 = 666.
2265414624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×22654146242 = 10264206837266122752, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2265414629) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57319 + ... + 88409.
It is an arithmetic number, because the mean of its divisors is an integer number (50928696).
Almost surely, 22265414624 is an apocalyptic number.
2265414624 is a gapful number since it is divisible by the number (24) 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 2265414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666866112).
2265414624 is an abundant number, since it is smaller than the sum of its proper divisors (5068317600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2265414624 is a wasteful number, since it uses less digits than its factorization.
2265414624 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31141 (or 31130 counting only the distinct ones).
The product of its digits is 92160, while the sum is 36.
The square root of 2265414624 is about 47596.3719625771. The cubic root of 2265414624 is about 1313.3563147710.
The spelling of 2265414624 in words is "two billion, two hundred sixty-five million, four hundred fourteen thousand, six hundred twenty-four".
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