| Base | Representation |
|---|---|
| bin | 1000011110000011… |
| … | …1101100011010000 |
| 3 | 12212110010001200200 |
| 4 | 2013200331203100 |
| 5 | 14124013034010 |
| 6 | 1013334215200 |
| 7 | 110224661016 |
| oct | 20740754320 |
| 9 | 5773101620 |
| 10 | 2273564880 |
| 11 | a67405a44 |
| 12 | 5354b4500 |
| 13 | 2a304a982 |
| 14 | 177d4a8b6 |
| 15 | d48edcc0 |
| hex | 8783d8d0 |
2273564880 has 90 divisors (see below), whose sum is σ = 7639687926. Its totient is φ = 605942784.
The previous prime is 2273564873. The next prime is 2273564959. The reversal of 2273564880 is 884653722.
2273564880 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 564 + 8 + 80 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 236667456 + 2036897424 = 15384^2 + 45132^2 .
It is a tau number, because it is divible by the number of its divisors (90).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1278552 + ... + 1280328.
Almost surely, 22273564880 is an apocalyptic number.
2273564880 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 2273564880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819843963).
2273564880 is an abundant number, since it is smaller than the sum of its proper divisors (5366123046).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2273564880 is an equidigital number, since it uses as much as digits as its factorization.
2273564880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3573 (or 1787 counting only the distinct ones).
The product of its (nonzero) digits is 645120, while the sum is 45.
The square root of 2273564880 is about 47681.9135522055. The cubic root of 2273564880 is about 1314.9294453416.
Multiplying 2273564880 by its sum of digits (45), we get a square (102310419600 = 3198602).
2273564880 divided by its sum of digits (45) gives a square (50523664 = 71082).
The spelling of 2273564880 in words is "two billion, two hundred seventy-three million, five hundred sixty-four thousand, eight hundred eighty".
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