Base | Representation |
---|---|
bin | 1000100001010010… |
… | …1110100100000000 |
3 | 12220101122111100211 |
4 | 2020110232210000 |
5 | 14141001304401 |
6 | 1014541123504 |
7 | 110451220000 |
oct | 21024564400 |
9 | 5811574324 |
10 | 2287134976 |
11 | a740343a5 |
12 | 539b59594 |
13 | 2a5abc509 |
14 | 179a80000 |
15 | d5bce951 |
hex | 8852e900 |
2287134976 has 135 divisors (see below), whose sum is σ = 5414649513. Its totient is φ = 964131840.
The previous prime is 2287134943. The next prime is 2287134977. The reversal of 2287134976 is 6794317822.
It is a happy number.
The square root of 2287134976 is 47824.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 74373376 + 2212761600 = 8624^2 + 47040^2 .
It is a Harshad number since it is a multiple of its sum of digits (49).
It is not an unprimeable number, because it can be changed into a prime (2287134977) by changing a digit.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 37493986 + ... + 37494046.
Almost surely, 22287134976 is an apocalyptic number.
2287134976 is the 47824-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2287134976
2287134976 is an abundant number, since it is smaller than the sum of its proper divisors (3127514537).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2287134976 is an frugal number, since it uses more digits than its factorization.
2287134976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 166 (or 70 counting only the distinct ones).
The product of its digits is 1016064, while the sum is 49.
The cubic root of 2287134976 is about 1317.5403722444.
Multiplying 2287134976 by its sum of digits (49), we get a square (112069613824 = 3347682).
2287134976 divided by its sum of digits (49) gives a square (46676224 = 68322).
The spelling of 2287134976 in words is "two billion, two hundred eighty-seven million, one hundred thirty-four thousand, nine hundred seventy-six".
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