225144400 has 120 divisors (see below), whose sum is σ = 603008280. Its totient is φ = 80209920.

The previous prime is 225144383. The next prime is 225144467. The reversal of 225144400 is 4441522.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 53114944 + 172029456 = 7288^2 + 13116^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150054 + ... + 151546.

It is an arithmetic number, because the mean of its divisors is an integer number (5025069).

Almost surely, 2^225144400 is an apocalyptic number.

225144400 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 225144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301504140).

225144400 is an abundant number, since it is smaller than the sum of its proper divisors (377863880).

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

225144400 is a wasteful number, since it uses less digits than its factorization.

225144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 225144400 is about 15004.8125613085. The cubic root of 225144400 is about 608.3502858018.

Adding to 225144400 its reverse (4441522), we get a palindrome (229585922).

It can be divided in two parts, 225 and 144400, that multiplied together give a square (32490000 = 5700²).

The spelling of 225144400 in words is "two hundred twenty-five million, one hundred forty-four thousand, four hundred".