225998080 has 144 divisors (see below), whose sum is σ = 675206784. Its totient is φ = 70410240.

The previous prime is 225998009. The next prime is 225998081. The reversal of 225998080 is 80899522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225998081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97414 + ... + 99706.

It is an arithmetic number, because the mean of its divisors is an integer number (4688936).

Almost surely, 2^225998080 is an apocalyptic number.

225998080 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 225998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337603392).

225998080 is an abundant number, since it is smaller than the sum of its proper divisors (449208704).

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

225998080 is a wasteful number, since it uses less digits than its factorization.

225998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 225998080 is about 15033.2325199872. The cubic root of 225998080 is about 609.1182099457.

The spelling of 225998080 in words is "two hundred twenty-five million, nine hundred ninety-eight thousand, eighty".