Base | Representation |
---|---|
bin | 1000011110000110… |
… | …1010000001100000 |
3 | 12212110110022120100 |
4 | 2013201222001200 |
5 | 14124034401130 |
6 | 1013342142400 |
7 | 110226350055 |
oct | 20741520140 |
9 | 5773408510 |
10 | 2273747040 |
11 | a6751a894 |
12 | 535581a00 |
13 | 2a30b2866 |
14 | 177d9702c |
15 | d4937c60 |
hex | 8786a060 |
2273747040 has 144 divisors (see below), whose sum is σ = 7820886528. Its totient is φ = 601509888.
The previous prime is 2273747033. The next prime is 2273747053. The reversal of 2273747040 is 407473722.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 2273746986 and 2273747004.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 176664 + ... + 189096.
It is an arithmetic number, because the mean of its divisors is an integer number (54311712).
Almost surely, 22273747040 is an apocalyptic number.
2273747040 is a gapful number since it is divisible by the number (20) 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 2273747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910443264).
2273747040 is an abundant number, since it is smaller than the sum of its proper divisors (5547139488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2273747040 is a wasteful number, since it uses less digits than its factorization.
2273747040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12581 (or 12570 counting only the distinct ones).
The product of its (nonzero) digits is 65856, while the sum is 36.
The square root of 2273747040 is about 47683.8236721847. The cubic root of 2273747040 is about 1314.9645621682.
The spelling of 2273747040 in words is "two billion, two hundred seventy-three million, seven hundred forty-seven thousand, forty".
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