Base | Representation |
---|---|
bin | 1000100001100010… |
… | …1111011101011001 |
3 | 12220110121221210000 |
4 | 2020120233131121 |
5 | 14141233442400 |
6 | 1015015443213 |
7 | 110463161532 |
oct | 21030573531 |
9 | 5813557700 |
10 | 2288187225 |
11 | a74692a25 |
12 | 53a386509 |
13 | 2a609a44c |
14 | 179c75689 |
15 | d5d3b600 |
hex | 8862f759 |
2288187225 has 45 divisors (see below), whose sum is σ = 4242504783. Its totient is φ = 1219218480.
The previous prime is 2288187217. The next prime is 2288187247. The reversal of 2288187225 is 5227818822.
The square root of 2288187225 is 47835.
It is a perfect power (a square), and thus also a powerful number.
2288187225 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 only one way, i.e., 823747401 + 1464439824 = 28701^2 + 38268^2 .
It is a tau number, because it is divible by the number of its divisors (45).
It is not a de Polignac number, because 2288187225 - 23 = 2288187217 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2152044 + ... + 2153106.
Almost surely, 22288187225 is an apocalyptic number.
2288187225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.
2288187225 is the 47835-th square number.
2288187225 is the 23918-th centered octagonal number.
It is an amenable number.
2288187225 is a deficient number, since it is larger than the sum of its proper divisors (1954317558).
2288187225 is an frugal number, since it uses more digits than its factorization.
2288187225 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2148 (or 1071 counting only the distinct ones).
The product of its digits is 286720, while the sum is 45.
The cubic root of 2288187225 is about 1317.7423961734.
The spelling of 2288187225 in words is "two billion, two hundred eighty-eight million, one hundred eighty-seven thousand, two hundred twenty-five".
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