| Base | Representation |
|---|---|
| bin | 1000010010101000… |
| … | …1001111100000000 |
| 3 | 12202002221101121000 |
| 4 | 2010222021330000 |
| 5 | 14024231041024 |
| 6 | 1004503132000 |
| 7 | 106103440605 |
| oct | 20452117400 |
| 9 | 5662841530 |
| 10 | 2225643264 |
| 11 | a423547a9 |
| 12 | 521444000 |
| 13 | 29613c5a0 |
| 14 | 1718346ac |
| 15 | d05d4cc9 |
| hex | 84a89f00 |
2225643264 has 576 divisors, whose sum is σ = 7911751680. Its totient is φ = 610467840.
The previous prime is 2225643197. The next prime is 2225643269. The reversal of 2225643264 is 4623465222.
2225643264 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 643 + 2 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
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 (2225643269) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47354089 + ... + 47354135.
It is an arithmetic number, because the mean of its divisors is an integer number (13735680).
Almost surely, 22225643264 is an apocalyptic number.
2225643264 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 2225643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955875840).
2225643264 is an abundant number, since it is smaller than the sum of its proper divisors (5686108416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2225643264 is a wasteful number, since it uses less digits than its factorization.
2225643264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133 (or 113 counting only the distinct ones).
The product of its digits is 138240, while the sum is 36.
The square root of 2225643264 is about 47176.7237522912. The cubic root of 2225643264 is about 1305.6251833378.
The spelling of 2225643264 in words is "two billion, two hundred twenty-five million, six hundred forty-three thousand, two hundred sixty-four".
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