225391320 has 384 divisors, whose sum is σ = 938096640. Its totient is φ = 45573120.

The previous prime is 225391267. The next prime is 225391333. The reversal of 225391320 is 23193522.

225391320 is a `hidden beast` number, since 2 + 253 + 91 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1302754 + ... + 1302926.

It is an arithmetic number, because the mean of its divisors is an integer number (2442960).

Almost surely, 2^225391320 is an apocalyptic number.

225391320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225391320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469048320).

225391320 is an abundant number, since it is smaller than the sum of its proper divisors (712705320).

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

225391320 is a wasteful number, since it uses less digits than its factorization.

225391320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 225391320 is about 15013.0383333954. The cubic root of 225391320 is about 608.5726008611.

The spelling of 225391320 in words is "two hundred twenty-five million, three hundred ninety-one thousand, three hundred twenty".