225519 has 8 divisors (see below), whose sum is σ = 343680. Its totient is φ = 128856.

The previous prime is 225509. The next prime is 225523. The reversal of 225519 is 915522.

225519 = 26² + 27² + ... + 88².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 225519 - 2⁴ = 225503 is a prime.

It is a super-2 number, since 2×225519² = 101717638722, which contains 22 as substring.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5349 + ... + 5390.

It is an arithmetic number, because the mean of its divisors is an integer number (42960).

2²²⁵⁵¹⁹ is an apocalyptic number.

225519 is a deficient number, since it is larger than the sum of its proper divisors (118161).

225519 is a wasteful number, since it uses less digits than its factorization.

225519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10749.

The product of its digits is 900, while the sum is 24.

The square root of 225519 is about 474.8884079444. Note that the first 3 decimals coincide. The cubic root of 225519 is about 60.8687494197.

The spelling of 225519 in words is "two hundred twenty-five thousand, five hundred nineteen".