225641300 has 18 divisors (see below), whose sum is σ = 489641838. Its totient is φ = 90256480.

The previous prime is 225641291. The next prime is 225641309. The reversal of 225641300 is 3146522.

It is an interprime number because it is at equal distance from previous prime (225641291) and next prime (225641309).

It can be written as a sum of positive squares in 3 ways, for example, as 521284 + 225120016 = 722^2 + 15004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225641309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1128107 + ... + 1128306.

Almost surely, 2^225641300 is an apocalyptic number.

225641300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225641300 is an abundant number, since it is smaller than the sum of its proper divisors (264000538).

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

225641300 is a wasteful number, since it uses less digits than its factorization.

225641300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256427 (or 2256420 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 225641300 is about 15021.3614562729. The cubic root of 225641300 is about 608.7975056636.

Adding to 225641300 its reverse (3146522), we get a palindrome (228787822).

The spelling of 225641300 in words is "two hundred twenty-five million, six hundred forty-one thousand, three hundred".