225230400 has 126 divisors (see below), whose sum is σ = 800573202. Its totient is φ = 60057600.

The previous prime is 225230387. The next prime is 225230419. The reversal of 225230400 is 4032522.

225230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 74235456 + 150994944 = 8616^2 + 12288^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6580 + ... + 22220.

Almost surely, 2^225230400 is an apocalyptic number.

225230400 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 225230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400286601).

225230400 is an abundant number, since it is smaller than the sum of its proper divisors (575342802).

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

225230400 is a wasteful number, since it uses less digits than its factorization.

225230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15669 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225230400 is about 15007.6780349260. The cubic root of 225230400 is about 608.4277345630.

Adding to 225230400 its reverse (4032522), we get a palindrome (229262922).

It can be divided in two parts, 225 and 230400, that multiplied together give a square (51840000 = 7200²).

The spelling of 225230400 in words is "two hundred twenty-five million, two hundred thirty thousand, four hundred".