225379300 has 144 divisors (see below), whose sum is σ = 549964800. Its totient is φ = 79833600.

The previous prime is 225379283. The next prime is 225379303. The reversal of 225379300 is 3973522.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (225379303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2067646 + ... + 2067754.

It is an arithmetic number, because the mean of its divisors is an integer number (3819200).

Almost surely, 2^225379300 is an apocalyptic number.

225379300 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 225379300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

225379300 is an abundant number, since it is smaller than the sum of its proper divisors (324585500).

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

225379300 is a wasteful number, since it uses less digits than its factorization.

225379300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 225379300 is about 15012.6380093573. The cubic root of 225379300 is about 608.5617823837.

The spelling of 225379300 in words is "two hundred twenty-five million, three hundred seventy-nine thousand, three hundred".