225906300 has 144 divisors (see below), whose sum is σ = 749952000. Its totient is φ = 58276800.

The previous prime is 225906293. The next prime is 225906301. The reversal of 225906300 is 3609522.

225906300 is a `hidden beast` number, since 2 + 25 + 9 + 0 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225906301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82351 + ... + 85049.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^225906300 is an apocalyptic number.

225906300 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 225906300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

225906300 is an abundant number, since it is smaller than the sum of its proper divisors (524045700).

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

225906300 is a wasteful number, since it uses less digits than its factorization.

225906300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2740 counting only the distinct ones).

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

The square root of 225906300 is about 15030.1796396450. The cubic root of 225906300 is about 609.0357425211.

The spelling of 225906300 in words is "two hundred twenty-five million, nine hundred six thousand, three hundred".