225033480 has 144 divisors (see below), whose sum is σ = 850831020. Its totient is φ = 51432192.

The previous prime is 225033467. The next prime is 225033517. The reversal of 225033480 is 84330522.

225033480 is a `hidden beast` number, since 2 + 250 + 334 + 80 = 666.

225033480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 224820036 + 213444 = 14994^2 + 462^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11262 + ... + 24018.

Almost surely, 2^225033480 is an apocalyptic number.

225033480 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 225033480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425415510).

225033480 is an abundant number, since it is smaller than the sum of its proper divisors (625797540).

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

225033480 is a wasteful number, since it uses less digits than its factorization.

225033480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12788 (or 12774 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 225033480 is about 15001.1159584879. The cubic root of 225033480 is about 608.2503657830.

The spelling of 225033480 in words is "two hundred twenty-five million, thirty-three thousand, four hundred eighty".