225512400 has 60 divisors (see below), whose sum is σ = 722395232. Its totient is φ = 60136320.

The previous prime is 225512393. The next prime is 225512407. The reversal of 225512400 is 4215522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225512393) and next prime (225512407).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225512407) 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 11 ways as a sum of consecutive naturals, for example, 92764 + ... + 95163.

Almost surely, 2^225512400 is an apocalyptic number.

225512400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225512400 is an abundant number, since it is smaller than the sum of its proper divisors (496882832).

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

225512400 is a wasteful number, since it uses less digits than its factorization.

225512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187948 (or 187937 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 225512400 is about 15017.0702868436. The cubic root of 225512400 is about 608.6815562249.

Adding to 225512400 its reverse (4215522), we get a palindrome (229727922).

The spelling of 225512400 in words is "two hundred twenty-five million, five hundred twelve thousand, four hundred".