225812480 has 112 divisors (see below), whose sum is σ = 560298600. Its totient is φ = 87293952.

The previous prime is 225812471. The next prime is 225812501. The reversal of 225812480 is 84218522.

It can be written as a sum of positive squares in 4 ways, for example, as 182358016 + 43454464 = 13504^2 + 6592^2 .

It is a super-2 number, since 2×225812480² = 101982552247500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515446 + ... + 1515594.

Almost surely, 2^225812480 is an apocalyptic number.

225812480 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 225812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280149300).

225812480 is an abundant number, since it is smaller than the sum of its proper divisors (334486120).

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

225812480 is an equidigital number, since it uses as much as digits as its factorization.

225812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 225812480 is about 15027.0582616825. The cubic root of 225812480 is about 608.9514189980.

The spelling of 225812480 in words is "two hundred twenty-five million, eight hundred twelve thousand, four hundred eighty".