225
225 is a perfect square (15²) with an unusually rich factor structure for its size.
Where 225 fits
Why 225 is special
225 is 15² — and since 15 = 3 × 5, that makes 225 the square of a product of the first two odd primes, giving it nine factors (more than most numbers near its size), and qualifying it as both a 'powerful' number (every prime factor's exponent is at least 2) and a Harshad number (divisible by its own digit sum, 2+2+5=9).
225 is part of
Factors & digit properties
- Divisors (9)
- 1, 3, 5, 9, 15, 25, 45, 75, 225
- Prime factorisation
- 3^2 × 5^2
- Digit sum
- 9
- Digital root
- 9
Representations
- Decimal
- 225
- Binary
- 11100001
- Octal
- 341
- Hexadecimal
- e1
- Roman numeral
- CCXXV
- Scientific notation
- 2.250 × 10^2
Other mathematical patterns
- Deficient number
- Powerful number
- Harshad (Niven) number
Symbolic meaning
In modern numerology, 225 is said to combine the meanings of 2 (balance, partnership) and 5 (change), and is sometimes described as a 'manifestation' or 'angel number'. This is a belief-system interpretation, not an empirical claim.
Belief / interpretationSymbolic meaningPresented as belief or tradition, not as an established fact.
Common questions
Why is 225 special?
225 is a perfect square — 15² — and since 15 = 3 × 5, that gives 225 nine factors in total, more than most numbers near its size. It also qualifies as a 'powerful' number and a Harshad number (divisible by its own digit sum, 9).
What are the factors of 225?
1, 3, 5, 9, 15, 25, 45, 75 and 225 — nine factors in total, reflecting its 3²×5² structure.
Is 225 a prime number?
No, 225 is not prime.
What is 225 in Roman numerals?
225 in Roman numerals is CCXXV.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026