225740 has 12 divisors (see below), whose sum is σ = 474096. Its totient is φ = 90288.

The previous prime is 225733. The next prime is 225749. The reversal of 225740 is 47522.

225740 = T₅₅ + T₅₆ + ... + T₁₁₄.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 11287 = 225740 / (2 + 2 + 5 + 7 + 4 + 0).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (225749) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5624 + ... + 5663.

It is an arithmetic number, because the mean of its divisors is an integer number (39508).

2²²⁵⁷⁴⁰ is an apocalyptic number.

225740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225740 is an abundant number, since it is smaller than the sum of its proper divisors (248356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225740 is a wasteful number, since it uses less digits than its factorization.

225740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11296 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 225740 is about 475.1210372105. The cubic root of 225740 is about 60.8886259443. Note that the first 3 decimals are identical.

The spelling of 225740 in words is "two hundred twenty-five thousand, seven hundred forty".