Base | Representation |
---|---|
bin | 1000011101111011… |
… | …0011111000010000 |
3 | 12212102001102011100 |
4 | 2013132303320100 |
5 | 14123342012401 |
6 | 1013314144400 |
7 | 110220122001 |
oct | 20736637020 |
9 | 5772042140 |
10 | 2273000976 |
11 | a67060304 |
12 | 535282100 |
13 | 2a2bb10bc |
14 | 177c411a8 |
15 | d483bb86 |
hex | 877b3e10 |
2273000976 has 135 divisors (see below), whose sum is σ = 6636602791. Its totient is φ = 726200832.
The previous prime is 2273000969. The next prime is 2273000999. The reversal of 2273000976 is 6790003722.
The square root of 2273000976 is 47676.
It is a perfect power (a square), and thus also a powerful number.
2273000976 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 4 ways, for example, as 28515600 + 2244485376 = 5340^2 + 47376^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 2273000976.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16591180 + ... + 16591316.
Almost surely, 22273000976 is an apocalyptic number.
2273000976 is the 47676-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2273000976
2273000976 is an abundant number, since it is smaller than the sum of its proper divisors (4363601815).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2273000976 is a wasteful number, since it uses less digits than its factorization.
2273000976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 346 (or 171 counting only the distinct ones).
The product of its (nonzero) digits is 31752, while the sum is 36.
The cubic root of 2273000976 is about 1314.8207239686.
Multiplying 2273000976 by its sum of digits (36), we get a square (81828035136 = 2860562).
2273000976 divided by its sum of digits (36) gives a square (63138916 = 79462).
The spelling of 2273000976 in words is "two billion, two hundred seventy-three million, nine hundred seventy-six", and thus it is an aban number.
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