225103200 has 144 divisors (see below), whose sum is σ = 837446400. Its totient is φ = 51448320.

The previous prime is 225103189. The next prime is 225103201. The reversal of 225103200 is 2301522.

225103200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×225103200³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 225103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225103201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10101 + ... + 23499.

It is an arithmetic number, because the mean of its divisors is an integer number (5815600).

Almost surely, 2^225103200 is an apocalyptic number.

225103200 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 225103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418723200).

225103200 is an abundant number, since it is smaller than the sum of its proper divisors (612343200).

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

225103200 is a wasteful number, since it uses less digits than its factorization.

225103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13429 (or 13416 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 225103200 is about 15003.4396056371. The cubic root of 225103200 is about 608.3131754543.

Adding to 225103200 its reverse (2301522), we get a palindrome (227404722).

The spelling of 225103200 in words is "two hundred twenty-five million, one hundred three thousand, two hundred".