225129600 has 144 divisors (see below), whose sum is σ = 803416770. Its totient is φ = 60026880.

The previous prime is 225129587. The next prime is 225129601. The reversal of 225129600 is 6921522.

225129600 is a `hidden beast` number, since 2 + 2 + 51 + 2 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 86266944 + 138862656 = 9288^2 + 11784^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (225129601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24892 + ... + 32708.

Almost surely, 2^225129600 is an apocalyptic number.

225129600 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 225129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401708385).

225129600 is an abundant number, since it is smaller than the sum of its proper divisors (578287170).

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

225129600 is a wasteful number, since it uses less digits than its factorization.

225129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7847 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 225129600 is about 15004.3193780991. The cubic root of 225129600 is about 608.3369554214.

It can be divided in two parts, 225 and 129600, that multiplied together give a square (29160000 = 5400²).

The spelling of 225129600 in words is "two hundred twenty-five million, one hundred twenty-nine thousand, six hundred".