Base | Representation |
---|---|
bin | 1000001011111110… |
… | …1010001111000010 |
3 | 12200011102001111200 |
4 | 2002333222033002 |
5 | 14000104214041 |
6 | 1002024522030 |
7 | 105314235600 |
oct | 20277521702 |
9 | 5604361450 |
10 | 2197726146 |
11 | a28617200 |
12 | 514020316 |
13 | 290416695 |
14 | 16bc48870 |
15 | cce1d1b6 |
hex | 82fea3c2 |
2197726146 has 108 divisors (see below), whose sum is σ = 6088801446. Its totient is φ = 570810240.
The previous prime is 2197726127. The next prime is 2197726147. The reversal of 2197726146 is 6416277912.
2197726146 is a `hidden beast` number, since 21 + 9 + 7 + 7 + 2 + 614 + 6 = 666.
2197726146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 1281998025 + 915728121 = 35805^2 + 30261^2 .
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (2197726147) by changing a digit.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 96426 + ... + 117018.
Almost surely, 22197726146 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2197726146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044400723).
2197726146 is an abundant number, since it is smaller than the sum of its proper divisors (3891075300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2197726146 is a wasteful number, since it uses less digits than its factorization.
2197726146 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20637 (or 20616 counting only the distinct ones).
The product of its digits is 254016, while the sum is 45.
The square root of 2197726146 is about 46879.9119666409. The cubic root of 2197726146 is about 1300.1432082867.
The spelling of 2197726146 in words is "two billion, one hundred ninety-seven million, seven hundred twenty-six thousand, one hundred forty-six".
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