225004320 has 72 divisors (see below), whose sum is σ = 767832156. Its totient is φ = 60000768.

The previous prime is 225004309. The next prime is 225004349. The reversal of 225004320 is 23400522.

It can be written as a sum of positive squares in 2 ways, for example, as 181602576 + 43401744 = 13476^2 + 6588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×225004320³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 225004293 and 225004302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76687 + ... + 79566.

Almost surely, 2^225004320 is an apocalyptic number.

225004320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225004320 is an abundant number, since it is smaller than the sum of its proper divisors (542827836).

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

225004320 is a wasteful number, since it uses less digits than its factorization.

225004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156274 (or 156263 counting only the distinct ones).

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

The square root of 225004320 is about 15000.1439993088. The cubic root of 225004320 is about 608.2240921417.

Adding to 225004320 its reverse (23400522), we get a palindrome (248404842).

The spelling of 225004320 in words is "two hundred twenty-five million, four thousand, three hundred twenty".