225207360 has 168 divisors, whose sum is σ = 885358656. Its totient is φ = 51471360.

The previous prime is 225207341. The next prime is 225207373. The reversal of 225207360 is 63702522.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14575 + ... + 25745.

It is an arithmetic number, because the mean of its divisors is an integer number (5269992).

Almost surely, 2^225207360 is an apocalyptic number.

225207360 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 225207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442679328).

225207360 is an abundant number, since it is smaller than the sum of its proper divisors (660151296).

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

225207360 is a wasteful number, since it uses less digits than its factorization.

225207360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11201 (or 11188 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 225207360 is about 15006.9104082086. The cubic root of 225207360 is about 608.4069874332.

Adding to 225207360 its reverse (63702522), we get a palindrome (288909882).

It can be divided in two parts, 225 and 207360, that multiplied together give a cube (46656000 = 360³).

The spelling of 225207360 in words is "two hundred twenty-five million, two hundred seven thousand, three hundred sixty".