Base | Representation |
---|---|
bin | 1000010111101110… |
… | …1001100101000000 |
3 | 12210121010202111000 |
4 | 2011323221211000 |
5 | 14100213202103 |
6 | 1010545052000 |
7 | 106453145304 |
oct | 20573514500 |
9 | 5717122430 |
10 | 2247006528 |
11 | a53416298 |
12 | 528627000 |
13 | 29a6ac380 |
14 | 1745d5d04 |
15 | d2404aa3 |
hex | 85ee9940 |
2247006528 has 224 divisors, whose sum is σ = 7424928000. Its totient is φ = 661174272.
The previous prime is 2247006523. The next prime is 2247006529. The reversal of 2247006528 is 8256007422.
It is a super-2 number, since 2×22470065282 = 10098076673749229568, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2247006492 and 2247006501.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2247006523) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514498 + ... + 518846.
It is an arithmetic number, because the mean of its divisors is an integer number (33147000).
Almost surely, 22247006528 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2247006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712464000).
2247006528 is an abundant number, since it is smaller than the sum of its proper divisors (5177921472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2247006528 is a wasteful number, since it uses less digits than its factorization.
2247006528 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4406 (or 4390 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The square root of 2247006528 is about 47402.6004349972. The cubic root of 2247006528 is about 1309.7893194979.
The spelling of 2247006528 in words is "two billion, two hundred forty-seven million, six thousand, five hundred twenty-eight".
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