225380 has 24 divisors (see below), whose sum is σ = 483840. Its totient is φ = 88160.

The previous prime is 225373. The next prime is 225383. The reversal of 225380 is 83522.

It is a super-2 number, since 2×225380² = 101592288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (225383) 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, 1085 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2²²⁵³⁸⁰ is an apocalyptic number.

225380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225380 is an abundant number, since it is smaller than the sum of its proper divisors (258460).

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

225380 is a wasteful number, since it uses less digits than its factorization.

225380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 225380 is about 474.7420352149. The cubic root of 225380 is about 60.8562412422.

The spelling of 225380 in words is "two hundred twenty-five thousand, three hundred eighty".