225631480 has 64 divisors (see below), whose sum is σ = 539460000. Its totient is φ = 84639744.

The previous prime is 225631477. The next prime is 225631481. The reversal of 225631480 is 84136522.

It is a super-3 number, since 3×225631480³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225631481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304951 + ... + 305689.

Almost surely, 2^225631480 is an apocalyptic number.

225631480 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 225631480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269730000).

225631480 is an abundant number, since it is smaller than the sum of its proper divisors (313828520).

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

225631480 is a wasteful number, since it uses less digits than its factorization.

225631480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 225631480 is about 15021.0345848746. The cubic root of 225631480 is about 608.7886738315.

The spelling of 225631480 in words is "two hundred twenty-five million, six hundred thirty-one thousand, four hundred eighty".