Base | Representation |
---|---|
bin | 1000001011111001… |
… | …1001100011000000 |
3 | 12200010210021011000 |
4 | 2002332121203000 |
5 | 14000013130043 |
6 | 1002013452000 |
7 | 105311361210 |
oct | 20276314300 |
9 | 5603707130 |
10 | 2197395648 |
11 | a28410968 |
12 | 513aa1000 |
13 | 29032c116 |
14 | 16bba0240 |
15 | ccda52d3 |
hex | 82f998c0 |
2197395648 has 224 divisors, whose sum is σ = 7417612800. Its totient is φ = 624872448.
The previous prime is 2197395647. The next prime is 2197395677. The reversal of 2197395648 is 8465937912.
2197395648 is a `hidden beast` number, since 2 + 1 + 9 + 73 + 9 + 564 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (224).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 2197395594 and 2197395603.
It is not an unprimeable number, because it can be changed into a prime (2197395647) 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, 4705111 + ... + 4705577.
Almost surely, 22197395648 is an apocalyptic number.
2197395648 is a gapful number since it is divisible by the number (28) 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 2197395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708806400).
2197395648 is an abundant number, since it is smaller than the sum of its proper divisors (5220217152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2197395648 is a wasteful number, since it uses less digits than its factorization.
2197395648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 884 (or 868 counting only the distinct ones).
The product of its digits is 3265920, while the sum is 54.
The square root of 2197395648 is about 46876.3868914830. The cubic root of 2197395648 is about 1300.0780323969.
The spelling of 2197395648 in words is "two billion, one hundred ninety-seven million, three hundred ninety-five thousand, six hundred forty-eight".
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